Least Common Multiple of 22/398, 41/985, 532/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/398, 41/985, 532/875 quickly i.e. 239932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/398, 41/985, 532/875 is 239932.

LCM(22/398, 41/985, 532/875) = 239932

LCM of 22/398, 41/985, 532/875

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 22/398,41/985,532/875

Given numbers are 22/398,41/985,532/875

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 22,41,532

Least Common Multiple of Numerators i.e. LCM of 22,41,532 is 239932.

GCF of Denominators means GCF of 398,985,875 as per the given fractions.

GCF of 398,985,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,41,532

LCM of Fractions 22/398,41/985,532/875 is 239932

2 22, 41, 532
11, 41, 266

∴ So the LCM of the given numbers is 2 x 11 x 41 x 266 = 239932

Least Common Multiple of 22,41,532 with GCF Formula

Least Common Multiple of 22,41,532 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 22,41,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,41,532) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,41,532) x common factors =1 x 2 = 2

LCM(22,41,532) = ( 22 × 41 × 532 ) / 2

LCM(22,41,532) = 479864 / 2

LCM(22,41,532) = 239932


Lets's calculate GCF of 398,985,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239932/1

Therefore the LCM of Fractions 22/398,41/985,532/875 is 239932

Greatest Common Factor of 398,985,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,985,875 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 398,985,875 . The biggest common factor number is the GCF number.
So the greatest common factor 398,985,875 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 22/398, 41/985, 532/875

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 22/398, 41/985, 532/875?

Answer: LCM of Numerators as per given numbers 22/398, 41/985, 532/875 is

LCM of Numerators i.e. for 22,41,532 is 239932

GCF of denominators i.e. for 398,985,875 is 1.

Thus, LCM of Fractions is 239932.Finally, LCM of Fractions for 22/398, 41/985, 532/875 is 239932.