Least Common Multiple of 834/92, 642/22, 617/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 834/92, 642/22, 617/53 quickly i.e. 55059846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/92, 642/22, 617/53 is 55059846.

LCM(834/92, 642/22, 617/53) = 55059846

LCM of 834/92, 642/22, 617/53

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 834/92,642/22,617/53

Given numbers are 834/92,642/22,617/53

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 834,642,617

Least Common Multiple of Numerators i.e. LCM of 834,642,617 is 55059846.

GCF of Denominators means GCF of 92,22,53 as per the given fractions.

GCF of 92,22,53 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,642,617

LCM of Fractions 834/92,642/22,617/53 is 55059846

2 834, 642, 617
3 417, 321, 617
139, 107, 617

∴ So the LCM of the given numbers is 2 x 3 x 139 x 107 x 617 = 55059846

Least Common Multiple of 834,642,617 with GCF Formula

Least Common Multiple of 834,642,617 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 834,642,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,642,617) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(834,642,617) x common factors =1 x 6 = 6

LCM(834,642,617) = ( 834 × 642 × 617 ) / 6

LCM(834,642,617) = 330359076 / 6

LCM(834,642,617) = 55059846


Lets's calculate GCF of 92,22,53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55059846/1

Therefore the LCM of Fractions 834/92,642/22,617/53 is 55059846

Greatest Common Factor of 92,22,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,22,53 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors 92,22,53 . The biggest common factor number is the GCF number.
So the greatest common factor 92,22,53 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 834/92, 642/22, 617/53

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 834/92, 642/22, 617/53?

Answer: LCM of Numerators as per given numbers 834/92, 642/22, 617/53 is

LCM of Numerators i.e. for 834,642,617 is 55059846

GCF of denominators i.e. for 92,22,53 is 1.

Thus, LCM of Fractions is 55059846.Finally, LCM of Fractions for 834/92, 642/22, 617/53 is 55059846.