Least Common Multiple of 40/35, 114/71, 362/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/35, 114/71, 362/472 quickly i.e. 412680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/35, 114/71, 362/472 is 412680.

LCM(40/35, 114/71, 362/472) = 412680

LCM of 40/35, 114/71, 362/472

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 40/35,114/71,362/472

Given numbers are 40/35,114/71,362/472

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 40,114,362

Least Common Multiple of Numerators i.e. LCM of 40,114,362 is 412680.

GCF of Denominators means GCF of 35,71,472 as per the given fractions.

GCF of 35,71,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,114,362

LCM of Fractions 40/35,114/71,362/472 is 412680

2 40, 114, 362
20, 57, 181

∴ So the LCM of the given numbers is 2 x 20 x 57 x 181 = 412680

Least Common Multiple of 40,114,362 with GCF Formula

Least Common Multiple of 40,114,362 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 40,114,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,114,362) = 2

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

GCF(40,114,362) x common factors =2 x 2 = 4

LCM(40,114,362) = ( 40 × 114 × 362 ) / 4

LCM(40,114,362) = 1650720 / 4

LCM(40,114,362) = 412680


Lets's calculate GCF of 35,71,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412680/1

Therefore the LCM of Fractions 40/35,114/71,362/472 is 412680

Greatest Common Factor of 35,71,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,71,472 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 35,71,472 . The biggest common factor number is the GCF number.
So the greatest common factor 35,71,472 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 40/35, 114/71, 362/472

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 40/35, 114/71, 362/472?

Answer: LCM of Numerators as per given numbers 40/35, 114/71, 362/472 is

LCM of Numerators i.e. for 40,114,362 is 412680

GCF of denominators i.e. for 35,71,472 is 1.

Thus, LCM of Fractions is 412680.Finally, LCM of Fractions for 40/35, 114/71, 362/472 is 412680.