Least Common Multiple of 916/602, 108/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 916/602, 108/685 quickly i.e. 24732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/602, 108/685 is 24732.

LCM(916/602, 108/685) = 24732

LCM of 916/602, 108/685

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 916/602,108/685

Given numbers are 916/602,108/685

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 916,108

Least Common Multiple of Numerators i.e. LCM of 916,108 is 24732.

GCF of Denominators means GCF of 602,685 as per the given fractions.

GCF of 602,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,108

LCM of Fractions 916/602,108/685 is 24732

2 916, 108
2 458, 54
229, 27

∴ So the LCM of the given numbers is 2 x 2 x 229 x 27 = 24732

Least Common Multiple of 916,108 with GCF Formula

Least Common Multiple of 916,108 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 916,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,108) = 4

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

GCF(916,108) x common factors =4 x 1 = 4

LCM(916,108) = ( 916 × 108 ) / 4

LCM(916,108) = 98928 / 4

LCM(916,108) = 24732


Lets's calculate GCF of 602,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24732/1

Therefore the LCM of Fractions 916/602,108/685 is 24732

Greatest Common Factor of 602,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,685 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 602,685 . The biggest common factor number is the GCF number.
So the greatest common factor 602,685 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 916/602, 108/685

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 916/602, 108/685?

Answer: LCM of Numerators as per given numbers 916/602, 108/685 is

LCM of Numerators i.e. for 916,108 is 24732

GCF of denominators i.e. for 602,685 is 1.

Thus, LCM of Fractions is 24732.Finally, LCM of Fractions for 916/602, 108/685 is 24732.