Least Common Multiple of 355/31, 616/16, 167/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/31, 616/16, 167/691 quickly i.e. 36519560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/31, 616/16, 167/691 is 36519560.

LCM(355/31, 616/16, 167/691) = 36519560

LCM of 355/31, 616/16, 167/691

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 355/31,616/16,167/691

Given numbers are 355/31,616/16,167/691

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 355,616,167

Least Common Multiple of Numerators i.e. LCM of 355,616,167 is 36519560.

GCF of Denominators means GCF of 31,16,691 as per the given fractions.

GCF of 31,16,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,616,167

LCM of Fractions 355/31,616/16,167/691 is 36519560

Given numbers has no common factors except 1. So, there LCM is their product i.e 36519560

Least Common Multiple of 355,616,167 with GCF Formula

Least Common Multiple of 355,616,167 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 355,616,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,616,167) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(355,616,167) x common factors =1 x 1 = 1

LCM(355,616,167) = ( 355 × 616 × 167 ) / 1

LCM(355,616,167) = 36519560 / 1

LCM(355,616,167) = 36519560


Lets's calculate GCF of 31,16,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36519560/1

Therefore the LCM of Fractions 355/31,616/16,167/691 is 36519560

Greatest Common Factor of 31,16,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,16,691 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 31,16,691 . The biggest common factor number is the GCF number.
So the greatest common factor 31,16,691 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 355/31, 616/16, 167/691

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 355/31, 616/16, 167/691?

Answer: LCM of Numerators as per given numbers 355/31, 616/16, 167/691 is

LCM of Numerators i.e. for 355,616,167 is 36519560

GCF of denominators i.e. for 31,16,691 is 1.

Thus, LCM of Fractions is 36519560.Finally, LCM of Fractions for 355/31, 616/16, 167/691 is 36519560.