Least Common Multiple of 49/924, 74/410, 979/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/924, 74/410, 979/642 quickly i.e. 1774927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/924, 74/410, 979/642 is 1774927.

LCM(49/924, 74/410, 979/642) = 1774927

LCM of 49/924, 74/410, 979/642

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 49/924,74/410,979/642

Given numbers are 49/924,74/410,979/642

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 49,74,979

Least Common Multiple of Numerators i.e. LCM of 49,74,979 is 3549854.

GCF of Denominators means GCF of 924,410,642 as per the given fractions.

GCF of 924,410,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,74,979

LCM of Fractions 49/924,74/410,979/642 is 1774927

Given numbers has no common factors except 1. So, there LCM is their product i.e 3549854

Least Common Multiple of 49,74,979 with GCF Formula

Least Common Multiple of 49,74,979 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 49,74,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,74,979) = 1

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

GCF(49,74,979) x common factors =1 x 1 = 1

LCM(49,74,979) = ( 49 × 74 × 979 ) / 1

LCM(49,74,979) = 3549854 / 1

LCM(49,74,979) = 3549854


Lets's calculate GCF of 924,410,642

2 924, 410, 642
462, 205, 321

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3549854/2

Therefore the LCM of Fractions 49/924,74/410,979/642 is 1774927

Greatest Common Factor of 924,410,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,410,642 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 924,410,642 . The biggest common factor number is the GCF number.
So the greatest common factor 924,410,642 is 2.


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 49/924, 74/410, 979/642

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 49/924, 74/410, 979/642?

Answer: LCM of Numerators as per given numbers 49/924, 74/410, 979/642 is

LCM of Numerators i.e. for 49,74,979 is 3549854

GCF of denominators i.e. for 924,410,642 is 2.

Thus, LCM of Fractions is 1774927.Finally, LCM of Fractions for 49/924, 74/410, 979/642 is 1774927.