Least Common Multiple of 40/12, 916/20, 802/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/12, 916/20, 802/235 quickly i.e. 3673160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/12, 916/20, 802/235 is 3673160.

LCM(40/12, 916/20, 802/235) = 3673160

LCM of 40/12, 916/20, 802/235

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 40/12,916/20,802/235

Given numbers are 40/12,916/20,802/235

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 40,916,802

Least Common Multiple of Numerators i.e. LCM of 40,916,802 is 3673160.

GCF of Denominators means GCF of 12,20,235 as per the given fractions.

GCF of 12,20,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,916,802

LCM of Fractions 40/12,916/20,802/235 is 3673160

2 40, 916, 802
2 20, 458, 401
10, 229, 401

∴ So the LCM of the given numbers is 2 x 2 x 10 x 229 x 401 = 3673160

Least Common Multiple of 40,916,802 with GCF Formula

Least Common Multiple of 40,916,802 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 40,916,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,916,802) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,916,802) x common factors =2 x 4 = 8

LCM(40,916,802) = ( 40 × 916 × 802 ) / 8

LCM(40,916,802) = 29385280 / 8

LCM(40,916,802) = 3673160


Lets's calculate GCF of 12,20,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3673160/1

Therefore the LCM of Fractions 40/12,916/20,802/235 is 3673160

Greatest Common Factor of 12,20,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,20,235 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 12,20,235 . The biggest common factor number is the GCF number.
So the greatest common factor 12,20,235 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 40/12, 916/20, 802/235

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 40/12, 916/20, 802/235?

Answer: LCM of Numerators as per given numbers 40/12, 916/20, 802/235 is

LCM of Numerators i.e. for 40,916,802 is 3673160

GCF of denominators i.e. for 12,20,235 is 1.

Thus, LCM of Fractions is 3673160.Finally, LCM of Fractions for 40/12, 916/20, 802/235 is 3673160.