Least Common Multiple of 7919/60, 5421/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7919/60, 5421/434 quickly i.e. 42928899/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7919/60, 5421/434 is 42928899/2.

LCM(7919/60, 5421/434) = 42928899/2

LCM of 7919/60, 5421/434

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 7919/60,5421/434

Given numbers are 7919/60,5421/434

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 7919,5421

Least Common Multiple of Numerators i.e. LCM of 7919,5421 is 42928899.

GCF of Denominators means GCF of 60,434 as per the given fractions.

GCF of 60,434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7919,5421

LCM of Fractions 7919/60,5421/434 is 42928899/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 42928899

Least Common Multiple of 7919,5421 with GCF Formula

Least Common Multiple of 7919,5421 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 7919,5421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7919,5421) = 1

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

GCF(7919,5421) x common factors =1 x 1 = 1

LCM(7919,5421) = ( 7919 × 5421 ) / 1

LCM(7919,5421) = 42928899 / 1

LCM(7919,5421) = 42928899


Lets's calculate GCF of 60,434

2 60, 434
30, 217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42928899/2

Therefore the LCM of Fractions 7919/60,5421/434 is 42928899/2

Greatest Common Factor of 60,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,434 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 60,434 . The biggest common factor number is the GCF number.
So the greatest common factor 60,434 is 2.


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Frequently Asked Questions on Fractional LCM of 7919/60, 5421/434

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 7919/60, 5421/434?

Answer: LCM of Numerators as per given numbers 7919/60, 5421/434 is

LCM of Numerators i.e. for 7919,5421 is 42928899

GCF of denominators i.e. for 60,434 is 2.

Thus, LCM of Fractions is 42928899/2.Finally, LCM of Fractions for 7919/60, 5421/434 is 42928899/2.