Least Common Multiple of 172/735, 4654/5532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/735, 4654/5532 quickly i.e. 400244/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/735, 4654/5532 is 400244/3.

LCM(172/735, 4654/5532) = 400244/3

LCM of 172/735, 4654/5532

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 172/735,4654/5532

Given numbers are 172/735,4654/5532

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 172,4654

Least Common Multiple of Numerators i.e. LCM of 172,4654 is 400244.

GCF of Denominators means GCF of 735,5532 as per the given fractions.

GCF of 735,5532 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,4654

LCM of Fractions 172/735,4654/5532 is 400244/3

2 172, 4654
86, 2327

∴ So the LCM of the given numbers is 2 x 86 x 2327 = 400244

Least Common Multiple of 172,4654 with GCF Formula

Least Common Multiple of 172,4654 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 172,4654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,4654) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(172,4654) x common factors =2 x 1 = 2

LCM(172,4654) = ( 172 × 4654 ) / 2

LCM(172,4654) = 800488 / 2

LCM(172,4654) = 400244


Lets's calculate GCF of 735,5532

3 735, 5532
245, 1844

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400244/3

Therefore the LCM of Fractions 172/735,4654/5532 is 400244/3

Greatest Common Factor of 735,5532 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,5532 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 5532

List of positive integer factors of 5532 that divides 5532 without a remainder.

1,2,3,4,6,12,461,922,1383,1844,2766,5532

Greatest Common Factor

We found the factors 735,5532 . The biggest common factor number is the GCF number.
So the greatest common factor 735,5532 is 3.


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 172/735, 4654/5532

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 172/735, 4654/5532?

Answer: LCM of Numerators as per given numbers 172/735, 4654/5532 is

LCM of Numerators i.e. for 172,4654 is 400244

GCF of denominators i.e. for 735,5532 is 3.

Thus, LCM of Fractions is 400244/3.Finally, LCM of Fractions for 172/735, 4654/5532 is 400244/3.