Least Common Multiple of 77/494, 92/357, 420/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/494, 92/357, 420/566 quickly i.e. 106260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/494, 92/357, 420/566 is 106260.

LCM(77/494, 92/357, 420/566) = 106260

LCM of 77/494, 92/357, 420/566

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 77/494,92/357,420/566

Given numbers are 77/494,92/357,420/566

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 77,92,420

Least Common Multiple of Numerators i.e. LCM of 77,92,420 is 106260.

GCF of Denominators means GCF of 494,357,566 as per the given fractions.

GCF of 494,357,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,92,420

LCM of Fractions 77/494,92/357,420/566 is 106260

2 77, 92, 420
2 77, 46, 210
7 77, 23, 105
11, 23, 15

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 23 x 15 = 106260

Least Common Multiple of 77,92,420 with GCF Formula

Least Common Multiple of 77,92,420 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 77,92,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,92,420) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(77,92,420) x common factors =1 x 28 = 28

LCM(77,92,420) = ( 77 × 92 × 420 ) / 28

LCM(77,92,420) = 2975280 / 28

LCM(77,92,420) = 106260


Lets's calculate GCF of 494,357,566

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106260/1

Therefore the LCM of Fractions 77/494,92/357,420/566 is 106260

Greatest Common Factor of 494,357,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,357,566 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 494,357,566 . The biggest common factor number is the GCF number.
So the greatest common factor 494,357,566 is 1.


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 77/494, 92/357, 420/566

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 77/494, 92/357, 420/566?

Answer: LCM of Numerators as per given numbers 77/494, 92/357, 420/566 is

LCM of Numerators i.e. for 77,92,420 is 106260

GCF of denominators i.e. for 494,357,566 is 1.

Thus, LCM of Fractions is 106260.Finally, LCM of Fractions for 77/494, 92/357, 420/566 is 106260.