Least Common Multiple of 82/32, 22/92, 246/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/32, 22/92, 246/70 quickly i.e. 1353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/32, 22/92, 246/70 is 1353.

LCM(82/32, 22/92, 246/70) = 1353

LCM of 82/32, 22/92, 246/70

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 82/32,22/92,246/70

Given numbers are 82/32,22/92,246/70

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 82,22,246

Least Common Multiple of Numerators i.e. LCM of 82,22,246 is 2706.

GCF of Denominators means GCF of 32,92,70 as per the given fractions.

GCF of 32,92,70 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,22,246

LCM of Fractions 82/32,22/92,246/70 is 1353

2 82, 22, 246
41 41, 11, 123
1, 11, 3

∴ So the LCM of the given numbers is 2 x 41 x 1 x 11 x 3 = 2706

Least Common Multiple of 82,22,246 with GCF Formula

Least Common Multiple of 82,22,246 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 82,22,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,22,246) = 2

common factors(in case of two or more numbers have common factors) = 82

GCF(82,22,246) x common factors =2 x 82 = 164

LCM(82,22,246) = ( 82 × 22 × 246 ) / 164

LCM(82,22,246) = 443784 / 164

LCM(82,22,246) = 2706


Lets's calculate GCF of 32,92,70

2 32, 92, 70
16, 46, 35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2706/2

Therefore the LCM of Fractions 82/32,22/92,246/70 is 1353

Greatest Common Factor of 32,92,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,92,70 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 32,92,70 . The biggest common factor number is the GCF number.
So the greatest common factor 32,92,70 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 82/32, 22/92, 246/70

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 82/32, 22/92, 246/70?

Answer: LCM of Numerators as per given numbers 82/32, 22/92, 246/70 is

LCM of Numerators i.e. for 82,22,246 is 2706

GCF of denominators i.e. for 32,92,70 is 2.

Thus, LCM of Fractions is 1353.Finally, LCM of Fractions for 82/32, 22/92, 246/70 is 1353.