Least Common Multiple of 112/91, 713/99, 920/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/91, 713/99, 920/84 quickly i.e. 399280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/91, 713/99, 920/84 is 399280.

LCM(112/91, 713/99, 920/84) = 399280

LCM of 112/91, 713/99, 920/84

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 112/91,713/99,920/84

Given numbers are 112/91,713/99,920/84

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 112,713,920

Least Common Multiple of Numerators i.e. LCM of 112,713,920 is 399280.

GCF of Denominators means GCF of 91,99,84 as per the given fractions.

GCF of 91,99,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,713,920

LCM of Fractions 112/91,713/99,920/84 is 399280

2 112, 713, 920
2 56, 713, 460
2 28, 713, 230
23 14, 713, 115
14, 31, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 14 x 31 x 5 = 399280

Least Common Multiple of 112,713,920 with GCF Formula

Least Common Multiple of 112,713,920 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 112,713,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,713,920) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(112,713,920) x common factors =1 x 184 = 184

LCM(112,713,920) = ( 112 × 713 × 920 ) / 184

LCM(112,713,920) = 73467520 / 184

LCM(112,713,920) = 399280


Lets's calculate GCF of 91,99,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399280/1

Therefore the LCM of Fractions 112/91,713/99,920/84 is 399280

Greatest Common Factor of 91,99,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,99,84 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 99

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

1,3,9,11,33,99

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

Greatest Common Factor

We found the factors 91,99,84 . The biggest common factor number is the GCF number.
So the greatest common factor 91,99,84 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 112/91, 713/99, 920/84

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 112/91, 713/99, 920/84?

Answer: LCM of Numerators as per given numbers 112/91, 713/99, 920/84 is

LCM of Numerators i.e. for 112,713,920 is 399280

GCF of denominators i.e. for 91,99,84 is 1.

Thus, LCM of Fractions is 399280.Finally, LCM of Fractions for 112/91, 713/99, 920/84 is 399280.