Least Common Multiple of 486/22, 756/92, 529/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/22, 756/92, 529/342 quickly i.e. 1799658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/22, 756/92, 529/342 is 1799658.

LCM(486/22, 756/92, 529/342) = 1799658

LCM of 486/22, 756/92, 529/342

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 486/22,756/92,529/342

Given numbers are 486/22,756/92,529/342

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 486,756,529

Least Common Multiple of Numerators i.e. LCM of 486,756,529 is 3599316.

GCF of Denominators means GCF of 22,92,342 as per the given fractions.

GCF of 22,92,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,756,529

LCM of Fractions 486/22,756/92,529/342 is 1799658

2 486, 756, 529
3 243, 378, 529
3 81, 126, 529
3 27, 42, 529
9, 14, 529

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 9 x 14 x 529 = 3599316

Least Common Multiple of 486,756,529 with GCF Formula

Least Common Multiple of 486,756,529 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 486,756,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,756,529) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(486,756,529) x common factors =1 x 54 = 54

LCM(486,756,529) = ( 486 × 756 × 529 ) / 54

LCM(486,756,529) = 194363064 / 54

LCM(486,756,529) = 3599316


Lets's calculate GCF of 22,92,342

2 22, 92, 342
11, 46, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3599316/2

Therefore the LCM of Fractions 486/22,756/92,529/342 is 1799658

Greatest Common Factor of 22,92,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,92,342 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 22,92,342 . The biggest common factor number is the GCF number.
So the greatest common factor 22,92,342 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 486/22, 756/92, 529/342

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 486/22, 756/92, 529/342?

Answer: LCM of Numerators as per given numbers 486/22, 756/92, 529/342 is

LCM of Numerators i.e. for 486,756,529 is 3599316

GCF of denominators i.e. for 22,92,342 is 2.

Thus, LCM of Fractions is 1799658.Finally, LCM of Fractions for 486/22, 756/92, 529/342 is 1799658.