Least Common Multiple of 469/61, 531/7951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 469/61, 531/7951 quickly i.e. 249039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/61, 531/7951 is 249039.

LCM(469/61, 531/7951) = 249039

LCM of 469/61, 531/7951

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 469/61,531/7951

Given numbers are 469/61,531/7951

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 469,531

Least Common Multiple of Numerators i.e. LCM of 469,531 is 249039.

GCF of Denominators means GCF of 61,7951 as per the given fractions.

GCF of 61,7951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,531

LCM of Fractions 469/61,531/7951 is 249039

Given numbers has no common factors except 1. So, there LCM is their product i.e 249039

Least Common Multiple of 469,531 with GCF Formula

Least Common Multiple of 469,531 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 469,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,531) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(469,531) x common factors =1 x 1 = 1

LCM(469,531) = ( 469 × 531 ) / 1

LCM(469,531) = 249039 / 1

LCM(469,531) = 249039


Lets's calculate GCF of 61,7951

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249039/1

Therefore the LCM of Fractions 469/61,531/7951 is 249039

Greatest Common Factor of 61,7951 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,7951 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 7951

List of positive integer factors of 7951 that divides 7951 without a remainder.

1,7951

Greatest Common Factor

We found the factors 61,7951 . The biggest common factor number is the GCF number.
So the greatest common factor 61,7951 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 469/61, 531/7951

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 469/61, 531/7951?

Answer: LCM of Numerators as per given numbers 469/61, 531/7951 is

LCM of Numerators i.e. for 469,531 is 249039

GCF of denominators i.e. for 61,7951 is 1.

Thus, LCM of Fractions is 249039.Finally, LCM of Fractions for 469/61, 531/7951 is 249039.