Least Common Multiple of 79/70, 16/99, 648/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/70, 16/99, 648/88 quickly i.e. 102384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/70, 16/99, 648/88 is 102384.

LCM(79/70, 16/99, 648/88) = 102384

LCM of 79/70, 16/99, 648/88

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 79/70,16/99,648/88

Given numbers are 79/70,16/99,648/88

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 79,16,648

Least Common Multiple of Numerators i.e. LCM of 79,16,648 is 102384.

GCF of Denominators means GCF of 70,99,88 as per the given fractions.

GCF of 70,99,88 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,16,648

LCM of Fractions 79/70,16/99,648/88 is 102384

2 79, 16, 648
2 79, 8, 324
2 79, 4, 162
79, 2, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 2 x 81 = 102384

Least Common Multiple of 79,16,648 with GCF Formula

Least Common Multiple of 79,16,648 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 79,16,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,16,648) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(79,16,648) x common factors =1 x 8 = 8

LCM(79,16,648) = ( 79 × 16 × 648 ) / 8

LCM(79,16,648) = 819072 / 8

LCM(79,16,648) = 102384


Lets's calculate GCF of 70,99,88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102384/1

Therefore the LCM of Fractions 79/70,16/99,648/88 is 102384

Greatest Common Factor of 70,99,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,99,88 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 88

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

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

Greatest Common Factor

We found the factors 70,99,88 . The biggest common factor number is the GCF number.
So the greatest common factor 70,99,88 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 79/70, 16/99, 648/88

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 79/70, 16/99, 648/88?

Answer: LCM of Numerators as per given numbers 79/70, 16/99, 648/88 is

LCM of Numerators i.e. for 79,16,648 is 102384

GCF of denominators i.e. for 70,99,88 is 1.

Thus, LCM of Fractions is 102384.Finally, LCM of Fractions for 79/70, 16/99, 648/88 is 102384.