HCF and LCM definitions, formulas and examples are provided here. Visit BYJU’S to learn the full form of LCM in Maths and the full form of HCF in Maths and their methods.
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.
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 15Solution: First finding the HCF and LCM of both the numbers 12 = 2×2×3 and 15 = 3×5LCM = 2×2×3×5 = 60 HCF = 3The HCF formula states that LCM × HCF = Product of the ...
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...
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 ...
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). ...
Example: Let us find the HCF and LCM of 6 and 8 to understand their relationship. Solution: The HCF of 6 and 8 = 2; The LCM of 6 and 8 = 24; The product of the two given numbers is 6 × 8 = 48. So, let us substitute these values in the formula that explains the relationsh...
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