Least Common Multiple of 630/546, 315/807, 780/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 630/546, 315/807, 780/442 quickly i.e. 16380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 630/546, 315/807, 780/442 is 16380.

LCM(630/546, 315/807, 780/442) = 16380

LCM of 630/546, 315/807, 780/442

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 630/546,315/807,780/442

Given numbers are 630/546,315/807,780/442

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 630,315,780

Least Common Multiple of Numerators i.e. LCM of 630,315,780 is 16380.

GCF of Denominators means GCF of 546,807,442 as per the given fractions.

GCF of 546,807,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 630,315,780

LCM of Fractions 630/546,315/807,780/442 is 16380

2 630, 315, 780
3 315, 315, 390
3 105, 105, 130
5 35, 35, 130
7 7, 7, 26
1, 1, 26

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 1 x 26 = 16380

Least Common Multiple of 630,315,780 with GCF Formula

Least Common Multiple of 630,315,780 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 630,315,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,315,780) = 15

common factors(in case of two or more numbers have common factors) = 630

GCF(630,315,780) x common factors =15 x 630 = 9450

LCM(630,315,780) = ( 630 × 315 × 780 ) / 9450

LCM(630,315,780) = 154791000 / 9450

LCM(630,315,780) = 16380


Lets's calculate GCF of 546,807,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/1

Therefore the LCM of Fractions 630/546,315/807,780/442 is 16380

Greatest Common Factor of 546,807,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,807,442 By Matching Biggest Common Factor Method

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 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 546,807,442 . The biggest common factor number is the GCF number.
So the greatest common factor 546,807,442 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 630/546, 315/807, 780/442

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 630/546, 315/807, 780/442?

Answer: LCM of Numerators as per given numbers 630/546, 315/807, 780/442 is

LCM of Numerators i.e. for 630,315,780 is 16380

GCF of denominators i.e. for 546,807,442 is 1.

Thus, LCM of Fractions is 16380.Finally, LCM of Fractions for 630/546, 315/807, 780/442 is 16380.