Least Common Multiple of 152/84, 903/5300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/84, 903/5300 quickly i.e. 34314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/84, 903/5300 is 34314.

LCM(152/84, 903/5300) = 34314

LCM of 152/84, 903/5300

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 152/84,903/5300

Given numbers are 152/84,903/5300

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 152,903

Least Common Multiple of Numerators i.e. LCM of 152,903 is 137256.

GCF of Denominators means GCF of 84,5300 as per the given fractions.

GCF of 84,5300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,903

LCM of Fractions 152/84,903/5300 is 34314

Given numbers has no common factors except 1. So, there LCM is their product i.e 137256

Least Common Multiple of 152,903 with GCF Formula

Least Common Multiple of 152,903 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 152,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,903) = 1

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

GCF(152,903) x common factors =1 x 1 = 1

LCM(152,903) = ( 152 × 903 ) / 1

LCM(152,903) = 137256 / 1

LCM(152,903) = 137256


Lets's calculate GCF of 84,5300

2 84, 5300
2 42, 2650
21, 1325

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137256/4

Therefore the LCM of Fractions 152/84,903/5300 is 34314

Greatest Common Factor of 84,5300 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5300 By Matching Biggest Common Factor Method

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 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Greatest Common Factor

We found the factors 84,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5300 is 4.


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 152/84, 903/5300

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 152/84, 903/5300?

Answer: LCM of Numerators as per given numbers 152/84, 903/5300 is

LCM of Numerators i.e. for 152,903 is 137256

GCF of denominators i.e. for 84,5300 is 4.

Thus, LCM of Fractions is 34314.Finally, LCM of Fractions for 152/84, 903/5300 is 34314.