Least Common Multiple of 70/80, 76/324, 855/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/80, 76/324, 855/352 quickly i.e. 5985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/80, 76/324, 855/352 is 5985.

LCM(70/80, 76/324, 855/352) = 5985

LCM of 70/80, 76/324, 855/352

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 70/80,76/324,855/352

Given numbers are 70/80,76/324,855/352

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 70,76,855

Least Common Multiple of Numerators i.e. LCM of 70,76,855 is 23940.

GCF of Denominators means GCF of 80,324,352 as per the given fractions.

GCF of 80,324,352 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,76,855

LCM of Fractions 70/80,76/324,855/352 is 5985

2 70, 76, 855
5 35, 38, 855
19 7, 38, 171
7, 2, 9

∴ So the LCM of the given numbers is 2 x 5 x 19 x 7 x 2 x 9 = 23940

Least Common Multiple of 70,76,855 with GCF Formula

Least Common Multiple of 70,76,855 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 70,76,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,76,855) = 1

common factors(in case of two or more numbers have common factors) = 190

GCF(70,76,855) x common factors =1 x 190 = 190

LCM(70,76,855) = ( 70 × 76 × 855 ) / 190

LCM(70,76,855) = 4548600 / 190

LCM(70,76,855) = 23940


Lets's calculate GCF of 80,324,352

2 80, 324, 352
2 40, 162, 176
20, 81, 88

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23940/4

Therefore the LCM of Fractions 70/80,76/324,855/352 is 5985

Greatest Common Factor of 80,324,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,324,352 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 80,324,352 . The biggest common factor number is the GCF number.
So the greatest common factor 80,324,352 is 4.


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 70/80, 76/324, 855/352

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 70/80, 76/324, 855/352?

Answer: LCM of Numerators as per given numbers 70/80, 76/324, 855/352 is

LCM of Numerators i.e. for 70,76,855 is 23940

GCF of denominators i.e. for 80,324,352 is 4.

Thus, LCM of Fractions is 5985.Finally, LCM of Fractions for 70/80, 76/324, 855/352 is 5985.