Least Common Multiple of 112/92, 176/97, 774/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/92, 176/97, 774/70 quickly i.e. 476784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/92, 176/97, 774/70 is 476784.

LCM(112/92, 176/97, 774/70) = 476784

LCM of 112/92, 176/97, 774/70

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 112/92,176/97,774/70

Given numbers are 112/92,176/97,774/70

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 112,176,774

Least Common Multiple of Numerators i.e. LCM of 112,176,774 is 476784.

GCF of Denominators means GCF of 92,97,70 as per the given fractions.

GCF of 92,97,70 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,176,774

LCM of Fractions 112/92,176/97,774/70 is 476784

2 112, 176, 774
2 56, 88, 387
2 28, 44, 387
2 14, 22, 387
7, 11, 387

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 11 x 387 = 476784

Least Common Multiple of 112,176,774 with GCF Formula

Least Common Multiple of 112,176,774 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 112,176,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,176,774) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(112,176,774) x common factors =2 x 16 = 32

LCM(112,176,774) = ( 112 × 176 × 774 ) / 32

LCM(112,176,774) = 15257088 / 32

LCM(112,176,774) = 476784


Lets's calculate GCF of 92,97,70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476784/1

Therefore the LCM of Fractions 112/92,176/97,774/70 is 476784

Greatest Common Factor of 92,97,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,97,70 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

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 92,97,70 . The biggest common factor number is the GCF number.
So the greatest common factor 92,97,70 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 112/92, 176/97, 774/70

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 112/92, 176/97, 774/70?

Answer: LCM of Numerators as per given numbers 112/92, 176/97, 774/70 is

LCM of Numerators i.e. for 112,176,774 is 476784

GCF of denominators i.e. for 92,97,70 is 1.

Thus, LCM of Fractions is 476784.Finally, LCM of Fractions for 112/92, 176/97, 774/70 is 476784.