Least Common Multiple of 5212/612, 9780/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5212/612, 9780/153 quickly i.e. 12743340/153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5212/612, 9780/153 is 12743340/153.

LCM(5212/612, 9780/153) = 12743340/153

LCM of 5212/612, 9780/153

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 5212/612,9780/153

Given numbers are 5212/612,9780/153

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 5212,9780

Least Common Multiple of Numerators i.e. LCM of 5212,9780 is 12743340.

GCF of Denominators means GCF of 612,153 as per the given fractions.

GCF of 612,153 is 153 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5212,9780

LCM of Fractions 5212/612,9780/153 is 12743340/153

2 5212, 9780
2 2606, 4890
1303, 2445

∴ So the LCM of the given numbers is 2 x 2 x 1303 x 2445 = 12743340

Least Common Multiple of 5212,9780 with GCF Formula

Least Common Multiple of 5212,9780 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 5212,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5212,9780) = 4

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

GCF(5212,9780) x common factors =4 x 1 = 4

LCM(5212,9780) = ( 5212 × 9780 ) / 4

LCM(5212,9780) = 50973360 / 4

LCM(5212,9780) = 12743340


Lets's calculate GCF of 612,153

3 612, 153
3 204, 51
17 68, 17
4, 1

∴ So the GCF of the given numbers is 3 x 3 x 17 = 153

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12743340/153

Therefore the LCM of Fractions 5212/612,9780/153 is 12743340/153

Greatest Common Factor of 612,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,153 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 612,153 . The biggest common factor number is the GCF number.
So the greatest common factor 612,153 is 153.


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 5212/612, 9780/153

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 5212/612, 9780/153?

Answer: LCM of Numerators as per given numbers 5212/612, 9780/153 is

LCM of Numerators i.e. for 5212,9780 is 12743340

GCF of denominators i.e. for 612,153 is 153.

Thus, LCM of Fractions is 12743340/153.Finally, LCM of Fractions for 5212/612, 9780/153 is 12743340/153.