Least Common Multiple of 2790/456, 3460/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2790/456, 3460/492 quickly i.e. 80445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2790/456, 3460/492 is 80445.

LCM(2790/456, 3460/492) = 80445

LCM of 2790/456, 3460/492

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 2790/456,3460/492

Given numbers are 2790/456,3460/492

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 2790,3460

Least Common Multiple of Numerators i.e. LCM of 2790,3460 is 965340.

GCF of Denominators means GCF of 456,492 as per the given fractions.

GCF of 456,492 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2790,3460

LCM of Fractions 2790/456,3460/492 is 80445

2 2790, 3460
5 1395, 1730
279, 346

∴ So the LCM of the given numbers is 2 x 5 x 279 x 346 = 965340

Least Common Multiple of 2790,3460 with GCF Formula

Least Common Multiple of 2790,3460 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 2790,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2790,3460) = 10

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

GCF(2790,3460) x common factors =10 x 1 = 10

LCM(2790,3460) = ( 2790 × 3460 ) / 10

LCM(2790,3460) = 9653400 / 10

LCM(2790,3460) = 965340


Lets's calculate GCF of 456,492

2 456, 492
2 228, 246
3 114, 123
38, 41

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 965340/12

Therefore the LCM of Fractions 2790/456,3460/492 is 80445

Greatest Common Factor of 456,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,492 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 456,492 . The biggest common factor number is the GCF number.
So the greatest common factor 456,492 is 12.


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 2790/456, 3460/492

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 2790/456, 3460/492?

Answer: LCM of Numerators as per given numbers 2790/456, 3460/492 is

LCM of Numerators i.e. for 2790,3460 is 965340

GCF of denominators i.e. for 456,492 is 12.

Thus, LCM of Fractions is 80445.Finally, LCM of Fractions for 2790/456, 3460/492 is 80445.