Least Common Multiple of 84/112, 75/145, 929/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/112, 75/145, 929/217 quickly i.e. 1950900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/112, 75/145, 929/217 is 1950900.

LCM(84/112, 75/145, 929/217) = 1950900

LCM of 84/112, 75/145, 929/217

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 84/112,75/145,929/217

Given numbers are 84/112,75/145,929/217

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 84,75,929

Least Common Multiple of Numerators i.e. LCM of 84,75,929 is 1950900.

GCF of Denominators means GCF of 112,145,217 as per the given fractions.

GCF of 112,145,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,75,929

LCM of Fractions 84/112,75/145,929/217 is 1950900

3 84, 75, 929
28, 25, 929

∴ So the LCM of the given numbers is 3 x 28 x 25 x 929 = 1950900

Least Common Multiple of 84,75,929 with GCF Formula

Least Common Multiple of 84,75,929 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 84,75,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,75,929) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,75,929) x common factors =1 x 3 = 3

LCM(84,75,929) = ( 84 × 75 × 929 ) / 3

LCM(84,75,929) = 5852700 / 3

LCM(84,75,929) = 1950900


Lets's calculate GCF of 112,145,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950900/1

Therefore the LCM of Fractions 84/112,75/145,929/217 is 1950900

Greatest Common Factor of 112,145,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,145,217 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 112,145,217 . The biggest common factor number is the GCF number.
So the greatest common factor 112,145,217 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 84/112, 75/145, 929/217

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 84/112, 75/145, 929/217?

Answer: LCM of Numerators as per given numbers 84/112, 75/145, 929/217 is

LCM of Numerators i.e. for 84,75,929 is 1950900

GCF of denominators i.e. for 112,145,217 is 1.

Thus, LCM of Fractions is 1950900.Finally, LCM of Fractions for 84/112, 75/145, 929/217 is 1950900.