Least Common Multiple of 45/422, 50/829, 656/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/422, 50/829, 656/172 quickly i.e. 147600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/422, 50/829, 656/172 is 147600.

LCM(45/422, 50/829, 656/172) = 147600

LCM of 45/422, 50/829, 656/172

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 45/422,50/829,656/172

Given numbers are 45/422,50/829,656/172

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 45,50,656

Least Common Multiple of Numerators i.e. LCM of 45,50,656 is 147600.

GCF of Denominators means GCF of 422,829,172 as per the given fractions.

GCF of 422,829,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,50,656

LCM of Fractions 45/422,50/829,656/172 is 147600

2 45, 50, 656
5 45, 25, 328
9, 5, 328

∴ So the LCM of the given numbers is 2 x 5 x 9 x 5 x 328 = 147600

Least Common Multiple of 45,50,656 with GCF Formula

Least Common Multiple of 45,50,656 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 45,50,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,50,656) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(45,50,656) x common factors =1 x 10 = 10

LCM(45,50,656) = ( 45 × 50 × 656 ) / 10

LCM(45,50,656) = 1476000 / 10

LCM(45,50,656) = 147600


Lets's calculate GCF of 422,829,172

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147600/1

Therefore the LCM of Fractions 45/422,50/829,656/172 is 147600

Greatest Common Factor of 422,829,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,829,172 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 422,829,172 . The biggest common factor number is the GCF number.
So the greatest common factor 422,829,172 is 1.


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 45/422, 50/829, 656/172

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 45/422, 50/829, 656/172?

Answer: LCM of Numerators as per given numbers 45/422, 50/829, 656/172 is

LCM of Numerators i.e. for 45,50,656 is 147600

GCF of denominators i.e. for 422,829,172 is 1.

Thus, LCM of Fractions is 147600.Finally, LCM of Fractions for 45/422, 50/829, 656/172 is 147600.