Least Common Multiple of 780/498, 1362/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/498, 1362/202 quickly i.e. 88530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/498, 1362/202 is 88530.

LCM(780/498, 1362/202) = 88530

LCM of 780/498, 1362/202

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 780/498,1362/202

Given numbers are 780/498,1362/202

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 780,1362

Least Common Multiple of Numerators i.e. LCM of 780,1362 is 177060.

GCF of Denominators means GCF of 498,202 as per the given fractions.

GCF of 498,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,1362

LCM of Fractions 780/498,1362/202 is 88530

2 780, 1362
3 390, 681
130, 227

∴ So the LCM of the given numbers is 2 x 3 x 130 x 227 = 177060

Least Common Multiple of 780,1362 with GCF Formula

Least Common Multiple of 780,1362 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 780,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,1362) = 6

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

GCF(780,1362) x common factors =6 x 1 = 6

LCM(780,1362) = ( 780 × 1362 ) / 6

LCM(780,1362) = 1062360 / 6

LCM(780,1362) = 177060


Lets's calculate GCF of 498,202

2 498, 202
249, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177060/2

Therefore the LCM of Fractions 780/498,1362/202 is 88530

Greatest Common Factor of 498,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,202 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 498,202 . The biggest common factor number is the GCF number.
So the greatest common factor 498,202 is 2.


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 780/498, 1362/202

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 780/498, 1362/202?

Answer: LCM of Numerators as per given numbers 780/498, 1362/202 is

LCM of Numerators i.e. for 780,1362 is 177060

GCF of denominators i.e. for 498,202 is 2.

Thus, LCM of Fractions is 88530.Finally, LCM of Fractions for 780/498, 1362/202 is 88530.