Least Common Multiple of 96/69, 67/393, 600/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/69, 67/393, 600/870 quickly i.e. 53600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/69, 67/393, 600/870 is 53600.

LCM(96/69, 67/393, 600/870) = 53600

LCM of 96/69, 67/393, 600/870

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 96/69,67/393,600/870

Given numbers are 96/69,67/393,600/870

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 96,67,600

Least Common Multiple of Numerators i.e. LCM of 96,67,600 is 160800.

GCF of Denominators means GCF of 69,393,870 as per the given fractions.

GCF of 69,393,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,67,600

LCM of Fractions 96/69,67/393,600/870 is 53600

2 96, 67, 600
2 48, 67, 300
2 24, 67, 150
3 12, 67, 75
4, 67, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 67 x 25 = 160800

Least Common Multiple of 96,67,600 with GCF Formula

Least Common Multiple of 96,67,600 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 96,67,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,67,600) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,67,600) x common factors =1 x 24 = 24

LCM(96,67,600) = ( 96 × 67 × 600 ) / 24

LCM(96,67,600) = 3859200 / 24

LCM(96,67,600) = 160800


Lets's calculate GCF of 69,393,870

3 69, 393, 870
23, 131, 290

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160800/3

Therefore the LCM of Fractions 96/69,67/393,600/870 is 53600

Greatest Common Factor of 69,393,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,393,870 By Matching Biggest Common Factor Method

Factors of 69

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

1,3,23,69

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

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 69,393,870 . The biggest common factor number is the GCF number.
So the greatest common factor 69,393,870 is 3.


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 96/69, 67/393, 600/870

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 96/69, 67/393, 600/870?

Answer: LCM of Numerators as per given numbers 96/69, 67/393, 600/870 is

LCM of Numerators i.e. for 96,67,600 is 160800

GCF of denominators i.e. for 69,393,870 is 3.

Thus, LCM of Fractions is 53600.Finally, LCM of Fractions for 96/69, 67/393, 600/870 is 53600.