Here the given numbers are 36 and 48. The product of the common factors: 2×2×3 = 12. So the HCF for the numbers 36 and 48 is 12. Lowest Common Multiple (LCM) The LCM of a set of two or more numbers is the smallest of their common multiples. Multiples mean the numbers which ...
Learn Properties of HCF and LCM and the relation between LCM and HCF of natural numbers with examples. Formula to find HCF and LCM of fractions at BYJU'S.
Step 3 : So LCM of the numbers 12, 15, 20 & 27 is 540. Formula for finding HCF and LCM of fractions. 1. HCF of two or more fractions is given by 2. LCF of two or more fractions is given by The Product of the LCM and the HCF equals the product of the numbers I.e a and...
LCM of Fractions Calculator The formula to compute the Least Common Multiple of Fractions is given below i.e. LCM of Fractions = LCM of Numerators/HCF of Denominators. For Example LCM of Fractions 5/4 and 3/8 can be written as LCM(5/4, 3/8) = LCM(5, 3)/HCF(4, 8) = 15/4 ...
Example 1: Prove the HCF formula: LCM (12 & 15) × HCF (12 & 15) = Product of 12 and 15 Solution:First finding the HCF and LCM of both the numbers 12 = 2×2×3 and 15 = 3×5 LCM = 2×2×3×5 = 60 HCF = 3
What is the Relationship between HCF and LCM of two Numbers? The formula that expresses the relationship between the Least Common Multiple (LCM) and HCF is given as, LCM (a,b) × HCF (a,b) = a × b; where 'a' and 'b' are the two numbers. ...
Highest Common Factor (HCF):The greatest factor which is common to any two or more given natural numbers is termed as HCF of given numbers. Also known as GCD (Greatest Common Divisor). For example, HCF of 8,and 40 is 8. Both HCF and LCM of given numbers can be found by using two...
HCF or Highest Common Factor can be found by using the Prime Factorisation method and Division Method. Learn to find HCF by shortcut method or formula with examples at BYJU'S.
To find the LCM of two numbers a and b, we can use the following formula − LCM(a,b)*HCF(a,b)=a*b Hence,LCM(a,b)=(a*b)/HCF(a,b) Now, we can iteratively find the LCM of the numerators of the entire array (more than two numbers). ...
Set up Equations:** Let: * HCF(a, b) = h * LCM(a, b) = 105h (Given: LCM is 105 times HCF) We are also given: a - b = 120 (Assuming a > b) **3. Substitute and Simplify:** Substitute the values of LCM and HCF in the relationship formula: a * b = (105h) * h ...