Least Common Multiple of 3/31, 2/68, 7/14, 40/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/31, 2/68, 7/14, 40/410 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/31, 2/68, 7/14, 40/410 is 840.

LCM(3/31, 2/68, 7/14, 40/410) = 840

LCM of 3/31, 2/68, 7/14, 40/410

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 3/31,2/68,7/14,40/410

Given numbers are 3/31,2/68,7/14,40/410

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 3,2,7,40

Least Common Multiple of Numerators i.e. LCM of 3,2,7,40 is 840.

GCF of Denominators means GCF of 31,68,14,410 as per the given fractions.

GCF of 31,68,14,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,2,7,40

LCM of Fractions 3/31,2/68,7/14,40/410 is 840

2 3, 2, 7, 40
3, 1, 7, 20

∴ So the LCM of the given numbers is 2 x 3 x 1 x 7 x 20 = 840

Least Common Multiple of 3,2,7,40 with GCF Formula

Least Common Multiple of 3,2,7,40 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 3,2,7,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,2,7,40) = 1

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

GCF(3,2,7,40) x common factors =1 x 2 = 2

LCM(3,2,7,40) = ( 3 × 2 × 7 × 40 ) / 2

LCM(3,2,7,40) = 1680 / 2

LCM(3,2,7,40) = 840


Lets's calculate GCF of 31,68,14,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/1

Therefore the LCM of Fractions 3/31,2/68,7/14,40/410 is 840

Greatest Common Factor of 31,68,14,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,68,14,410 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 31,68,14,410 . The biggest common factor number is the GCF number.
So the greatest common factor 31,68,14,410 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 3/31, 2/68, 7/14, 40/410

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 3/31, 2/68, 7/14, 40/410?

Answer: LCM of Numerators as per given numbers 3/31, 2/68, 7/14, 40/410 is

LCM of Numerators i.e. for 3,2,7,40 is 840

GCF of denominators i.e. for 31,68,14,410 is 1.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 3/31, 2/68, 7/14, 40/410 is 840.