Least Common Multiple of 56/92, 834/34, 834/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/92, 834/34, 834/412 quickly i.e. 11676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/92, 834/34, 834/412 is 11676.

LCM(56/92, 834/34, 834/412) = 11676

LCM of 56/92, 834/34, 834/412

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 56/92,834/34,834/412

Given numbers are 56/92,834/34,834/412

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 56,834,834

Least Common Multiple of Numerators i.e. LCM of 56,834,834 is 23352.

GCF of Denominators means GCF of 92,34,412 as per the given fractions.

GCF of 92,34,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,834,834

LCM of Fractions 56/92,834/34,834/412 is 11676

2 56, 834, 834
3 28, 417, 417
139 28, 139, 139
28, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 139 x 28 x 1 x 1 = 23352

Least Common Multiple of 56,834,834 with GCF Formula

Least Common Multiple of 56,834,834 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 56,834,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,834,834) = 2

common factors(in case of two or more numbers have common factors) = 834

GCF(56,834,834) x common factors =2 x 834 = 1668

LCM(56,834,834) = ( 56 × 834 × 834 ) / 1668

LCM(56,834,834) = 38951136 / 1668

LCM(56,834,834) = 23352


Lets's calculate GCF of 92,34,412

2 92, 34, 412
46, 17, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23352/2

Therefore the LCM of Fractions 56/92,834/34,834/412 is 11676

Greatest Common Factor of 92,34,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,34,412 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 92,34,412 . The biggest common factor number is the GCF number.
So the greatest common factor 92,34,412 is 2.


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Frequently Asked Questions on Fractional LCM of 56/92, 834/34, 834/412

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 56/92, 834/34, 834/412?

Answer: LCM of Numerators as per given numbers 56/92, 834/34, 834/412 is

LCM of Numerators i.e. for 56,834,834 is 23352

GCF of denominators i.e. for 92,34,412 is 2.

Thus, LCM of Fractions is 11676.Finally, LCM of Fractions for 56/92, 834/34, 834/412 is 11676.