Least Common Multiple of 78/88, 87/15, 87/20, 70/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/88, 87/15, 87/20, 70/999 quickly i.e. 79170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/88, 87/15, 87/20, 70/999 is 79170.

LCM(78/88, 87/15, 87/20, 70/999) = 79170

LCM of 78/88, 87/15, 87/20, 70/999

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 78/88,87/15,87/20,70/999

Given numbers are 78/88,87/15,87/20,70/999

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 78,87,87,70

Least Common Multiple of Numerators i.e. LCM of 78,87,87,70 is 79170.

GCF of Denominators means GCF of 88,15,20,999 as per the given fractions.

GCF of 88,15,20,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,87,87,70

LCM of Fractions 78/88,87/15,87/20,70/999 is 79170

2 78, 87, 87, 70
3 39, 87, 87, 35
29 13, 29, 29, 35
13, 1, 1, 35

∴ So the LCM of the given numbers is 2 x 3 x 29 x 13 x 1 x 1 x 35 = 79170

Least Common Multiple of 78,87,87,70 with GCF Formula

Least Common Multiple of 78,87,87,70 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 78,87,87,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,87,87,70) = 1

common factors(in case of two or more numbers have common factors) = 522

GCF(78,87,87,70) x common factors =1 x 522 = 522

LCM(78,87,87,70) = ( 78 × 87 × 87 × 70 ) / 522

LCM(78,87,87,70) = 41326740 / 522

LCM(78,87,87,70) = 79170


Lets's calculate GCF of 88,15,20,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79170/1

Therefore the LCM of Fractions 78/88,87/15,87/20,70/999 is 79170

Greatest Common Factor of 88,15,20,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,15,20,999 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 88,15,20,999 . The biggest common factor number is the GCF number.
So the greatest common factor 88,15,20,999 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 78/88, 87/15, 87/20, 70/999

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 78/88, 87/15, 87/20, 70/999?

Answer: LCM of Numerators as per given numbers 78/88, 87/15, 87/20, 70/999 is

LCM of Numerators i.e. for 78,87,87,70 is 79170

GCF of denominators i.e. for 88,15,20,999 is 1.

Thus, LCM of Fractions is 79170.Finally, LCM of Fractions for 78/88, 87/15, 87/20, 70/999 is 79170.