Least Common Multiple of 2874/534, 5717/7504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2874/534, 5717/7504 quickly i.e. 8215329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2874/534, 5717/7504 is 8215329.

LCM(2874/534, 5717/7504) = 8215329

LCM of 2874/534, 5717/7504

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 2874/534,5717/7504

Given numbers are 2874/534,5717/7504

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 2874,5717

Least Common Multiple of Numerators i.e. LCM of 2874,5717 is 16430658.

GCF of Denominators means GCF of 534,7504 as per the given fractions.

GCF of 534,7504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2874,5717

LCM of Fractions 2874/534,5717/7504 is 8215329

Given numbers has no common factors except 1. So, there LCM is their product i.e 16430658

Least Common Multiple of 2874,5717 with GCF Formula

Least Common Multiple of 2874,5717 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 2874,5717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2874,5717) = 1

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

GCF(2874,5717) x common factors =1 x 1 = 1

LCM(2874,5717) = ( 2874 × 5717 ) / 1

LCM(2874,5717) = 16430658 / 1

LCM(2874,5717) = 16430658


Lets's calculate GCF of 534,7504

2 534, 7504
267, 3752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16430658/2

Therefore the LCM of Fractions 2874/534,5717/7504 is 8215329

Greatest Common Factor of 534,7504 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,7504 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors 534,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 534,7504 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 2874/534, 5717/7504

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 2874/534, 5717/7504?

Answer: LCM of Numerators as per given numbers 2874/534, 5717/7504 is

LCM of Numerators i.e. for 2874,5717 is 16430658

GCF of denominators i.e. for 534,7504 is 2.

Thus, LCM of Fractions is 8215329.Finally, LCM of Fractions for 2874/534, 5717/7504 is 8215329.