Least Common Multiple of 91/15, 96/84, 700/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/15, 96/84, 700/28 quickly i.e. 218400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/15, 96/84, 700/28 is 218400.

LCM(91/15, 96/84, 700/28) = 218400

LCM of 91/15, 96/84, 700/28

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 91/15,96/84,700/28

Given numbers are 91/15,96/84,700/28

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 91,96,700

Least Common Multiple of Numerators i.e. LCM of 91,96,700 is 218400.

GCF of Denominators means GCF of 15,84,28 as per the given fractions.

GCF of 15,84,28 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,96,700

LCM of Fractions 91/15,96/84,700/28 is 218400

2 91, 96, 700
2 91, 48, 350
7 91, 24, 175
13, 24, 25

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 24 x 25 = 218400

Least Common Multiple of 91,96,700 with GCF Formula

Least Common Multiple of 91,96,700 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 91,96,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,96,700) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(91,96,700) x common factors =1 x 28 = 28

LCM(91,96,700) = ( 91 × 96 × 700 ) / 28

LCM(91,96,700) = 6115200 / 28

LCM(91,96,700) = 218400


Lets's calculate GCF of 15,84,28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218400/1

Therefore the LCM of Fractions 91/15,96/84,700/28 is 218400

Greatest Common Factor of 15,84,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,84,28 By Matching Biggest Common Factor Method

Factors of 15

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

1,3,5,15

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 15,84,28 . The biggest common factor number is the GCF number.
So the greatest common factor 15,84,28 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 91/15, 96/84, 700/28

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 91/15, 96/84, 700/28?

Answer: LCM of Numerators as per given numbers 91/15, 96/84, 700/28 is

LCM of Numerators i.e. for 91,96,700 is 218400

GCF of denominators i.e. for 15,84,28 is 1.

Thus, LCM of Fractions is 218400.Finally, LCM of Fractions for 91/15, 96/84, 700/28 is 218400.