Least Common Multiple of 49/757, 686/873, 511/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/757, 686/873, 511/524 quickly i.e. 50078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/757, 686/873, 511/524 is 50078.

LCM(49/757, 686/873, 511/524) = 50078

LCM of 49/757, 686/873, 511/524

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 49/757,686/873,511/524

Given numbers are 49/757,686/873,511/524

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 49,686,511

Least Common Multiple of Numerators i.e. LCM of 49,686,511 is 50078.

GCF of Denominators means GCF of 757,873,524 as per the given fractions.

GCF of 757,873,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,686,511

LCM of Fractions 49/757,686/873,511/524 is 50078

7 49, 686, 511
7 7, 98, 73
1, 14, 73

∴ So the LCM of the given numbers is 7 x 7 x 1 x 14 x 73 = 50078

Least Common Multiple of 49,686,511 with GCF Formula

Least Common Multiple of 49,686,511 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 49,686,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,686,511) = 7

common factors(in case of two or more numbers have common factors) = 49

GCF(49,686,511) x common factors =7 x 49 = 343

LCM(49,686,511) = ( 49 × 686 × 511 ) / 343

LCM(49,686,511) = 17176754 / 343

LCM(49,686,511) = 50078


Lets's calculate GCF of 757,873,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50078/1

Therefore the LCM of Fractions 49/757,686/873,511/524 is 50078

Greatest Common Factor of 757,873,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,873,524 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 757,873,524 . The biggest common factor number is the GCF number.
So the greatest common factor 757,873,524 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/757, 686/873, 511/524

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 49/757, 686/873, 511/524?

Answer: LCM of Numerators as per given numbers 49/757, 686/873, 511/524 is

LCM of Numerators i.e. for 49,686,511 is 50078

GCF of denominators i.e. for 757,873,524 is 1.

Thus, LCM of Fractions is 50078.Finally, LCM of Fractions for 49/757, 686/873, 511/524 is 50078.