Least Common Multiple of 15/63, 92/57, 78/50, 71/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/63, 92/57, 78/50, 71/870 quickly i.e. 1273740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/63, 92/57, 78/50, 71/870 is 1273740.

LCM(15/63, 92/57, 78/50, 71/870) = 1273740

LCM of 15/63, 92/57, 78/50, 71/870

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 15/63,92/57,78/50,71/870

Given numbers are 15/63,92/57,78/50,71/870

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 15,92,78,71

Least Common Multiple of Numerators i.e. LCM of 15,92,78,71 is 1273740.

GCF of Denominators means GCF of 63,57,50,870 as per the given fractions.

GCF of 63,57,50,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,92,78,71

LCM of Fractions 15/63,92/57,78/50,71/870 is 1273740

2 15, 92, 78, 71
3 15, 46, 39, 71
5, 46, 13, 71

∴ So the LCM of the given numbers is 2 x 3 x 5 x 46 x 13 x 71 = 1273740

Least Common Multiple of 15,92,78,71 with GCF Formula

Least Common Multiple of 15,92,78,71 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 15,92,78,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,92,78,71) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(15,92,78,71) x common factors =1 x 6 = 6

LCM(15,92,78,71) = ( 15 × 92 × 78 × 71 ) / 6

LCM(15,92,78,71) = 7642440 / 6

LCM(15,92,78,71) = 1273740


Lets's calculate GCF of 63,57,50,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1273740/1

Therefore the LCM of Fractions 15/63,92/57,78/50,71/870 is 1273740

Greatest Common Factor of 63,57,50,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,57,50,870 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 50

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

1,2,5,10,25,50

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 63,57,50,870 . The biggest common factor number is the GCF number.
So the greatest common factor 63,57,50,870 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 15/63, 92/57, 78/50, 71/870

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 15/63, 92/57, 78/50, 71/870?

Answer: LCM of Numerators as per given numbers 15/63, 92/57, 78/50, 71/870 is

LCM of Numerators i.e. for 15,92,78,71 is 1273740

GCF of denominators i.e. for 63,57,50,870 is 1.

Thus, LCM of Fractions is 1273740.Finally, LCM of Fractions for 15/63, 92/57, 78/50, 71/870 is 1273740.