Least Common Multiple of 40/600, 314/133, 714/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/600, 314/133, 714/110 quickly i.e. 2241960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/600, 314/133, 714/110 is 2241960.

LCM(40/600, 314/133, 714/110) = 2241960

LCM of 40/600, 314/133, 714/110

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 40/600,314/133,714/110

Given numbers are 40/600,314/133,714/110

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 40,314,714

Least Common Multiple of Numerators i.e. LCM of 40,314,714 is 2241960.

GCF of Denominators means GCF of 600,133,110 as per the given fractions.

GCF of 600,133,110 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,314,714

LCM of Fractions 40/600,314/133,714/110 is 2241960

2 40, 314, 714
20, 157, 357

∴ So the LCM of the given numbers is 2 x 20 x 157 x 357 = 2241960

Least Common Multiple of 40,314,714 with GCF Formula

Least Common Multiple of 40,314,714 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 40,314,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,314,714) = 2

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

GCF(40,314,714) x common factors =2 x 2 = 4

LCM(40,314,714) = ( 40 × 314 × 714 ) / 4

LCM(40,314,714) = 8967840 / 4

LCM(40,314,714) = 2241960


Lets's calculate GCF of 600,133,110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2241960/1

Therefore the LCM of Fractions 40/600,314/133,714/110 is 2241960

Greatest Common Factor of 600,133,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,133,110 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 600,133,110 . The biggest common factor number is the GCF number.
So the greatest common factor 600,133,110 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 40/600, 314/133, 714/110

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 40/600, 314/133, 714/110?

Answer: LCM of Numerators as per given numbers 40/600, 314/133, 714/110 is

LCM of Numerators i.e. for 40,314,714 is 2241960

GCF of denominators i.e. for 600,133,110 is 1.

Thus, LCM of Fractions is 2241960.Finally, LCM of Fractions for 40/600, 314/133, 714/110 is 2241960.