Least Common Multiple of 929/42, 959/7574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 929/42, 959/7574 quickly i.e. 890911/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/42, 959/7574 is 890911/14.

LCM(929/42, 959/7574) = 890911/14

LCM of 929/42, 959/7574

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 929/42,959/7574

Given numbers are 929/42,959/7574

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 929,959

Least Common Multiple of Numerators i.e. LCM of 929,959 is 890911.

GCF of Denominators means GCF of 42,7574 as per the given fractions.

GCF of 42,7574 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,959

LCM of Fractions 929/42,959/7574 is 890911/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 890911

Least Common Multiple of 929,959 with GCF Formula

Least Common Multiple of 929,959 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 929,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,959) = 1

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

GCF(929,959) x common factors =1 x 1 = 1

LCM(929,959) = ( 929 × 959 ) / 1

LCM(929,959) = 890911 / 1

LCM(929,959) = 890911


Lets's calculate GCF of 42,7574

2 42, 7574
7 21, 3787
3, 541

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 890911/14

Therefore the LCM of Fractions 929/42,959/7574 is 890911/14

Greatest Common Factor of 42,7574 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7574 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1,2,7,14,541,1082,3787,7574

Greatest Common Factor

We found the factors 42,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7574 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 929/42, 959/7574

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 929/42, 959/7574?

Answer: LCM of Numerators as per given numbers 929/42, 959/7574 is

LCM of Numerators i.e. for 929,959 is 890911

GCF of denominators i.e. for 42,7574 is 14.

Thus, LCM of Fractions is 890911/14.Finally, LCM of Fractions for 929/42, 959/7574 is 890911/14.