Least Common Multiple of 36/420, 716/388, 927/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/420, 716/388, 927/654 quickly i.e. 331866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/420, 716/388, 927/654 is 331866.

LCM(36/420, 716/388, 927/654) = 331866

LCM of 36/420, 716/388, 927/654

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 36/420,716/388,927/654

Given numbers are 36/420,716/388,927/654

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 36,716,927

Least Common Multiple of Numerators i.e. LCM of 36,716,927 is 663732.

GCF of Denominators means GCF of 420,388,654 as per the given fractions.

GCF of 420,388,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,716,927

LCM of Fractions 36/420,716/388,927/654 is 331866

2 36, 716, 927
2 18, 358, 927
3 9, 179, 927
3 3, 179, 309
1, 179, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 179 x 103 = 663732

Least Common Multiple of 36,716,927 with GCF Formula

Least Common Multiple of 36,716,927 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 36,716,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,716,927) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(36,716,927) x common factors =1 x 36 = 36

LCM(36,716,927) = ( 36 × 716 × 927 ) / 36

LCM(36,716,927) = 23894352 / 36

LCM(36,716,927) = 663732


Lets's calculate GCF of 420,388,654

2 420, 388, 654
210, 194, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 663732/2

Therefore the LCM of Fractions 36/420,716/388,927/654 is 331866

Greatest Common Factor of 420,388,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,388,654 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 420,388,654 . The biggest common factor number is the GCF number.
So the greatest common factor 420,388,654 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 36/420, 716/388, 927/654

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 36/420, 716/388, 927/654?

Answer: LCM of Numerators as per given numbers 36/420, 716/388, 927/654 is

LCM of Numerators i.e. for 36,716,927 is 663732

GCF of denominators i.e. for 420,388,654 is 2.

Thus, LCM of Fractions is 331866.Finally, LCM of Fractions for 36/420, 716/388, 927/654 is 331866.