Least Common Multiple of 8/92, 96/962, 61/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8/92, 96/962, 61/106 quickly i.e. 2928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/92, 96/962, 61/106 is 2928.

LCM(8/92, 96/962, 61/106) = 2928

LCM of 8/92, 96/962, 61/106

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 8/92,96/962,61/106

Given numbers are 8/92,96/962,61/106

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 8,96,61

Least Common Multiple of Numerators i.e. LCM of 8,96,61 is 5856.

GCF of Denominators means GCF of 92,962,106 as per the given fractions.

GCF of 92,962,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,96,61

LCM of Fractions 8/92,96/962,61/106 is 2928

2 8, 96, 61
2 4, 48, 61
2 2, 24, 61
1, 12, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 12 x 61 = 5856

Least Common Multiple of 8,96,61 with GCF Formula

Least Common Multiple of 8,96,61 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 8,96,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,96,61) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(8,96,61) x common factors =1 x 8 = 8

LCM(8,96,61) = ( 8 × 96 × 61 ) / 8

LCM(8,96,61) = 46848 / 8

LCM(8,96,61) = 5856


Lets's calculate GCF of 92,962,106

2 92, 962, 106
46, 481, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5856/2

Therefore the LCM of Fractions 8/92,96/962,61/106 is 2928

Greatest Common Factor of 92,962,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,962,106 By Matching Biggest Common Factor Method

Factors of 92

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

1,2,4,23,46,92

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 92,962,106 . The biggest common factor number is the GCF number.
So the greatest common factor 92,962,106 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8/92, 96/962, 61/106

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 8/92, 96/962, 61/106?

Answer: LCM of Numerators as per given numbers 8/92, 96/962, 61/106 is

LCM of Numerators i.e. for 8,96,61 is 5856

GCF of denominators i.e. for 92,962,106 is 2.

Thus, LCM of Fractions is 2928.Finally, LCM of Fractions for 8/92, 96/962, 61/106 is 2928.