Least Common Multiple of 7344/870, 6754/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7344/870, 6754/554 quickly i.e. 12400344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7344/870, 6754/554 is 12400344.

LCM(7344/870, 6754/554) = 12400344

LCM of 7344/870, 6754/554

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 7344/870,6754/554

Given numbers are 7344/870,6754/554

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 7344,6754

Least Common Multiple of Numerators i.e. LCM of 7344,6754 is 24800688.

GCF of Denominators means GCF of 870,554 as per the given fractions.

GCF of 870,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7344,6754

LCM of Fractions 7344/870,6754/554 is 12400344

2 7344, 6754
3672, 3377

∴ So the LCM of the given numbers is 2 x 3672 x 3377 = 24800688

Least Common Multiple of 7344,6754 with GCF Formula

Least Common Multiple of 7344,6754 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 7344,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7344,6754) = 2

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

GCF(7344,6754) x common factors =2 x 1 = 2

LCM(7344,6754) = ( 7344 × 6754 ) / 2

LCM(7344,6754) = 49601376 / 2

LCM(7344,6754) = 24800688


Lets's calculate GCF of 870,554

2 870, 554
435, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24800688/2

Therefore the LCM of Fractions 7344/870,6754/554 is 12400344

Greatest Common Factor of 870,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,554 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 870,554 . The biggest common factor number is the GCF number.
So the greatest common factor 870,554 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 7344/870, 6754/554

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 7344/870, 6754/554?

Answer: LCM of Numerators as per given numbers 7344/870, 6754/554 is

LCM of Numerators i.e. for 7344,6754 is 24800688

GCF of denominators i.e. for 870,554 is 2.

Thus, LCM of Fractions is 12400344.Finally, LCM of Fractions for 7344/870, 6754/554 is 12400344.