Least Common Multiple of 56/829, 21/782, 198/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/829, 21/782, 198/149 quickly i.e. 5544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/829, 21/782, 198/149 is 5544.

LCM(56/829, 21/782, 198/149) = 5544

LCM of 56/829, 21/782, 198/149

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 56/829,21/782,198/149

Given numbers are 56/829,21/782,198/149

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 56,21,198

Least Common Multiple of Numerators i.e. LCM of 56,21,198 is 5544.

GCF of Denominators means GCF of 829,782,149 as per the given fractions.

GCF of 829,782,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,21,198

LCM of Fractions 56/829,21/782,198/149 is 5544

2 56, 21, 198
3 28, 21, 99
7 28, 7, 33
4, 1, 33

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 1 x 33 = 5544

Least Common Multiple of 56,21,198 with GCF Formula

Least Common Multiple of 56,21,198 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 56,21,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,21,198) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(56,21,198) x common factors =1 x 42 = 42

LCM(56,21,198) = ( 56 × 21 × 198 ) / 42

LCM(56,21,198) = 232848 / 42

LCM(56,21,198) = 5544


Lets's calculate GCF of 829,782,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/1

Therefore the LCM of Fractions 56/829,21/782,198/149 is 5544

Greatest Common Factor of 829,782,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,782,149 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 829,782,149 . The biggest common factor number is the GCF number.
So the greatest common factor 829,782,149 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 56/829, 21/782, 198/149

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 56/829, 21/782, 198/149?

Answer: LCM of Numerators as per given numbers 56/829, 21/782, 198/149 is

LCM of Numerators i.e. for 56,21,198 is 5544

GCF of denominators i.e. for 829,782,149 is 1.

Thus, LCM of Fractions is 5544.Finally, LCM of Fractions for 56/829, 21/782, 198/149 is 5544.