Least Common Multiple of 40/59, 94/50, 90/64, 15/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/59, 94/50, 90/64, 15/688 quickly i.e. 16920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/59, 94/50, 90/64, 15/688 is 16920.

LCM(40/59, 94/50, 90/64, 15/688) = 16920

LCM of 40/59, 94/50, 90/64, 15/688

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 40/59,94/50,90/64,15/688

Given numbers are 40/59,94/50,90/64,15/688

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 40,94,90,15

Least Common Multiple of Numerators i.e. LCM of 40,94,90,15 is 16920.

GCF of Denominators means GCF of 59,50,64,688 as per the given fractions.

GCF of 59,50,64,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,94,90,15

LCM of Fractions 40/59,94/50,90/64,15/688 is 16920

2 40, 94, 90, 15
3 20, 47, 45, 15
5 20, 47, 5, 15
4, 47, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 47 x 1 x 3 = 16920

Least Common Multiple of 40,94,90,15 with GCF Formula

Least Common Multiple of 40,94,90,15 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 40,94,90,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,94,90,15) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(40,94,90,15) x common factors =1 x 300 = 300

LCM(40,94,90,15) = ( 40 × 94 × 90 × 15 ) / 300

LCM(40,94,90,15) = 5076000 / 300

LCM(40,94,90,15) = 16920


Lets's calculate GCF of 59,50,64,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16920/1

Therefore the LCM of Fractions 40/59,94/50,90/64,15/688 is 16920

Greatest Common Factor of 59,50,64,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,50,64,688 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 59,50,64,688 . The biggest common factor number is the GCF number.
So the greatest common factor 59,50,64,688 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 40/59, 94/50, 90/64, 15/688

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 40/59, 94/50, 90/64, 15/688?

Answer: LCM of Numerators as per given numbers 40/59, 94/50, 90/64, 15/688 is

LCM of Numerators i.e. for 40,94,90,15 is 16920

GCF of denominators i.e. for 59,50,64,688 is 1.

Thus, LCM of Fractions is 16920.Finally, LCM of Fractions for 40/59, 94/50, 90/64, 15/688 is 16920.