Least Common Multiple of 152/705, 173/983, 954/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/705, 173/983, 954/224 quickly i.e. 12543192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/705, 173/983, 954/224 is 12543192.

LCM(152/705, 173/983, 954/224) = 12543192

LCM of 152/705, 173/983, 954/224

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 152/705,173/983,954/224

Given numbers are 152/705,173/983,954/224

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 152,173,954

Least Common Multiple of Numerators i.e. LCM of 152,173,954 is 12543192.

GCF of Denominators means GCF of 705,983,224 as per the given fractions.

GCF of 705,983,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,173,954

LCM of Fractions 152/705,173/983,954/224 is 12543192

2 152, 173, 954
76, 173, 477

∴ So the LCM of the given numbers is 2 x 76 x 173 x 477 = 12543192

Least Common Multiple of 152,173,954 with GCF Formula

Least Common Multiple of 152,173,954 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 152,173,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,173,954) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(152,173,954) x common factors =1 x 2 = 2

LCM(152,173,954) = ( 152 × 173 × 954 ) / 2

LCM(152,173,954) = 25086384 / 2

LCM(152,173,954) = 12543192


Lets's calculate GCF of 705,983,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12543192/1

Therefore the LCM of Fractions 152/705,173/983,954/224 is 12543192

Greatest Common Factor of 705,983,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,983,224 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 705,983,224 . The biggest common factor number is the GCF number.
So the greatest common factor 705,983,224 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 152/705, 173/983, 954/224

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 152/705, 173/983, 954/224?

Answer: LCM of Numerators as per given numbers 152/705, 173/983, 954/224 is

LCM of Numerators i.e. for 152,173,954 is 12543192

GCF of denominators i.e. for 705,983,224 is 1.

Thus, LCM of Fractions is 12543192.Finally, LCM of Fractions for 152/705, 173/983, 954/224 is 12543192.