Least Common Multiple of 82/524, 248/256, 490/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/524, 248/256, 490/612 quickly i.e. 622790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/524, 248/256, 490/612 is 622790.

LCM(82/524, 248/256, 490/612) = 622790

LCM of 82/524, 248/256, 490/612

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 82/524,248/256,490/612

Given numbers are 82/524,248/256,490/612

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 82,248,490

Least Common Multiple of Numerators i.e. LCM of 82,248,490 is 2491160.

GCF of Denominators means GCF of 524,256,612 as per the given fractions.

GCF of 524,256,612 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,248,490

LCM of Fractions 82/524,248/256,490/612 is 622790

2 82, 248, 490
41, 124, 245

∴ So the LCM of the given numbers is 2 x 41 x 124 x 245 = 2491160

Least Common Multiple of 82,248,490 with GCF Formula

Least Common Multiple of 82,248,490 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 82,248,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,248,490) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,248,490) x common factors =2 x 2 = 4

LCM(82,248,490) = ( 82 × 248 × 490 ) / 4

LCM(82,248,490) = 9964640 / 4

LCM(82,248,490) = 2491160


Lets's calculate GCF of 524,256,612

2 524, 256, 612
2 262, 128, 306
131, 64, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2491160/4

Therefore the LCM of Fractions 82/524,248/256,490/612 is 622790

Greatest Common Factor of 524,256,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,256,612 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

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

Greatest Common Factor

We found the factors 524,256,612 . The biggest common factor number is the GCF number.
So the greatest common factor 524,256,612 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 82/524, 248/256, 490/612

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 82/524, 248/256, 490/612?

Answer: LCM of Numerators as per given numbers 82/524, 248/256, 490/612 is

LCM of Numerators i.e. for 82,248,490 is 2491160

GCF of denominators i.e. for 524,256,612 is 4.

Thus, LCM of Fractions is 622790.Finally, LCM of Fractions for 82/524, 248/256, 490/612 is 622790.