Least Common Multiple of 5354/352, 8560/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5354/352, 8560/429 quickly i.e. 22915120/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5354/352, 8560/429 is 22915120/11.

LCM(5354/352, 8560/429) = 22915120/11

LCM of 5354/352, 8560/429

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 5354/352,8560/429

Given numbers are 5354/352,8560/429

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 5354,8560

Least Common Multiple of Numerators i.e. LCM of 5354,8560 is 22915120.

GCF of Denominators means GCF of 352,429 as per the given fractions.

GCF of 352,429 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5354,8560

LCM of Fractions 5354/352,8560/429 is 22915120/11

2 5354, 8560
2677, 4280

∴ So the LCM of the given numbers is 2 x 2677 x 4280 = 22915120

Least Common Multiple of 5354,8560 with GCF Formula

Least Common Multiple of 5354,8560 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 5354,8560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5354,8560) = 2

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

GCF(5354,8560) x common factors =2 x 1 = 2

LCM(5354,8560) = ( 5354 × 8560 ) / 2

LCM(5354,8560) = 45830240 / 2

LCM(5354,8560) = 22915120


Lets's calculate GCF of 352,429

11 352, 429
32, 39

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22915120/11

Therefore the LCM of Fractions 5354/352,8560/429 is 22915120/11

Greatest Common Factor of 352,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,429 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 352,429 . The biggest common factor number is the GCF number.
So the greatest common factor 352,429 is 11.


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 5354/352, 8560/429

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 5354/352, 8560/429?

Answer: LCM of Numerators as per given numbers 5354/352, 8560/429 is

LCM of Numerators i.e. for 5354,8560 is 22915120

GCF of denominators i.e. for 352,429 is 11.

Thus, LCM of Fractions is 22915120/11.Finally, LCM of Fractions for 5354/352, 8560/429 is 22915120/11.