Least Common Multiple of 92/617, 502/856, 167/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/617, 502/856, 167/692 quickly i.e. 3856364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/617, 502/856, 167/692 is 3856364.

LCM(92/617, 502/856, 167/692) = 3856364

LCM of 92/617, 502/856, 167/692

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 92/617,502/856,167/692

Given numbers are 92/617,502/856,167/692

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 92,502,167

Least Common Multiple of Numerators i.e. LCM of 92,502,167 is 3856364.

GCF of Denominators means GCF of 617,856,692 as per the given fractions.

GCF of 617,856,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,502,167

LCM of Fractions 92/617,502/856,167/692 is 3856364

2 92, 502, 167
46, 251, 167

∴ So the LCM of the given numbers is 2 x 46 x 251 x 167 = 3856364

Least Common Multiple of 92,502,167 with GCF Formula

Least Common Multiple of 92,502,167 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 92,502,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,502,167) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(92,502,167) x common factors =1 x 2 = 2

LCM(92,502,167) = ( 92 × 502 × 167 ) / 2

LCM(92,502,167) = 7712728 / 2

LCM(92,502,167) = 3856364


Lets's calculate GCF of 617,856,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3856364/1

Therefore the LCM of Fractions 92/617,502/856,167/692 is 3856364

Greatest Common Factor of 617,856,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,856,692 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 617,856,692 . The biggest common factor number is the GCF number.
So the greatest common factor 617,856,692 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/617, 502/856, 167/692

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 92/617, 502/856, 167/692?

Answer: LCM of Numerators as per given numbers 92/617, 502/856, 167/692 is

LCM of Numerators i.e. for 92,502,167 is 3856364

GCF of denominators i.e. for 617,856,692 is 1.

Thus, LCM of Fractions is 3856364.Finally, LCM of Fractions for 92/617, 502/856, 167/692 is 3856364.