Least Common Multiple of 7276/200, 5924/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7276/200, 5924/358 quickly i.e. 5387878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7276/200, 5924/358 is 5387878.

LCM(7276/200, 5924/358) = 5387878

LCM of 7276/200, 5924/358

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 7276/200,5924/358

Given numbers are 7276/200,5924/358

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 7276,5924

Least Common Multiple of Numerators i.e. LCM of 7276,5924 is 10775756.

GCF of Denominators means GCF of 200,358 as per the given fractions.

GCF of 200,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7276,5924

LCM of Fractions 7276/200,5924/358 is 5387878

2 7276, 5924
2 3638, 2962
1819, 1481

∴ So the LCM of the given numbers is 2 x 2 x 1819 x 1481 = 10775756

Least Common Multiple of 7276,5924 with GCF Formula

Least Common Multiple of 7276,5924 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 7276,5924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7276,5924) = 4

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

GCF(7276,5924) x common factors =4 x 1 = 4

LCM(7276,5924) = ( 7276 × 5924 ) / 4

LCM(7276,5924) = 43103024 / 4

LCM(7276,5924) = 10775756


Lets's calculate GCF of 200,358

2 200, 358
100, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10775756/2

Therefore the LCM of Fractions 7276/200,5924/358 is 5387878

Greatest Common Factor of 200,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,358 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 200,358 . The biggest common factor number is the GCF number.
So the greatest common factor 200,358 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 7276/200, 5924/358

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 7276/200, 5924/358?

Answer: LCM of Numerators as per given numbers 7276/200, 5924/358 is

LCM of Numerators i.e. for 7276,5924 is 10775756

GCF of denominators i.e. for 200,358 is 2.

Thus, LCM of Fractions is 5387878.Finally, LCM of Fractions for 7276/200, 5924/358 is 5387878.