Least Common Multiple of 56/642, 80/546, 945/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/642, 80/546, 945/354 quickly i.e. 2520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/642, 80/546, 945/354 is 2520.

LCM(56/642, 80/546, 945/354) = 2520

LCM of 56/642, 80/546, 945/354

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 56/642,80/546,945/354

Given numbers are 56/642,80/546,945/354

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 56,80,945

Least Common Multiple of Numerators i.e. LCM of 56,80,945 is 15120.

GCF of Denominators means GCF of 642,546,354 as per the given fractions.

GCF of 642,546,354 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,80,945

LCM of Fractions 56/642,80/546,945/354 is 2520

2 56, 80, 945
2 28, 40, 945
2 14, 20, 945
5 7, 10, 945
7 7, 2, 189
1, 2, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 1 x 2 x 27 = 15120

Least Common Multiple of 56,80,945 with GCF Formula

Least Common Multiple of 56,80,945 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 56,80,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,80,945) = 1

common factors(in case of two or more numbers have common factors) = 280

GCF(56,80,945) x common factors =1 x 280 = 280

LCM(56,80,945) = ( 56 × 80 × 945 ) / 280

LCM(56,80,945) = 4233600 / 280

LCM(56,80,945) = 15120


Lets's calculate GCF of 642,546,354

2 642, 546, 354
3 321, 273, 177
107, 91, 59

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15120/6

Therefore the LCM of Fractions 56/642,80/546,945/354 is 2520

Greatest Common Factor of 642,546,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,546,354 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 642,546,354 . The biggest common factor number is the GCF number.
So the greatest common factor 642,546,354 is 6.


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 56/642, 80/546, 945/354

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 56/642, 80/546, 945/354?

Answer: LCM of Numerators as per given numbers 56/642, 80/546, 945/354 is

LCM of Numerators i.e. for 56,80,945 is 15120

GCF of denominators i.e. for 642,546,354 is 6.

Thus, LCM of Fractions is 2520.Finally, LCM of Fractions for 56/642, 80/546, 945/354 is 2520.