Least Common Multiple of 31/64, 38/31, 62/69, 70/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/64, 38/31, 62/69, 70/639 quickly i.e. 41230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/64, 38/31, 62/69, 70/639 is 41230.

LCM(31/64, 38/31, 62/69, 70/639) = 41230

LCM of 31/64, 38/31, 62/69, 70/639

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 31/64,38/31,62/69,70/639

Given numbers are 31/64,38/31,62/69,70/639

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 31,38,62,70

Least Common Multiple of Numerators i.e. LCM of 31,38,62,70 is 41230.

GCF of Denominators means GCF of 64,31,69,639 as per the given fractions.

GCF of 64,31,69,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,38,62,70

LCM of Fractions 31/64,38/31,62/69,70/639 is 41230

2 31, 38, 62, 70
31 31, 19, 31, 35
1, 19, 1, 35

∴ So the LCM of the given numbers is 2 x 31 x 1 x 19 x 1 x 35 = 41230

Least Common Multiple of 31,38,62,70 with GCF Formula

Least Common Multiple of 31,38,62,70 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 31,38,62,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,38,62,70) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(31,38,62,70) x common factors =1 x 124 = 124

LCM(31,38,62,70) = ( 31 × 38 × 62 × 70 ) / 124

LCM(31,38,62,70) = 5112520 / 124

LCM(31,38,62,70) = 41230


Lets's calculate GCF of 64,31,69,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41230/1

Therefore the LCM of Fractions 31/64,38/31,62/69,70/639 is 41230

Greatest Common Factor of 64,31,69,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,31,69,639 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 64,31,69,639 . The biggest common factor number is the GCF number.
So the greatest common factor 64,31,69,639 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 31/64, 38/31, 62/69, 70/639

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 31/64, 38/31, 62/69, 70/639?

Answer: LCM of Numerators as per given numbers 31/64, 38/31, 62/69, 70/639 is

LCM of Numerators i.e. for 31,38,62,70 is 41230

GCF of denominators i.e. for 64,31,69,639 is 1.

Thus, LCM of Fractions is 41230.Finally, LCM of Fractions for 31/64, 38/31, 62/69, 70/639 is 41230.