Least Common Multiple of 54/71, 62/66, 648/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/71, 62/66, 648/490 quickly i.e. 20088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/71, 62/66, 648/490 is 20088.

LCM(54/71, 62/66, 648/490) = 20088

LCM of 54/71, 62/66, 648/490

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 54/71,62/66,648/490

Given numbers are 54/71,62/66,648/490

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 54,62,648

Least Common Multiple of Numerators i.e. LCM of 54,62,648 is 20088.

GCF of Denominators means GCF of 71,66,490 as per the given fractions.

GCF of 71,66,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,62,648

LCM of Fractions 54/71,62/66,648/490 is 20088

2 54, 62, 648
3 27, 31, 324
3 9, 31, 108
3 3, 31, 36
1, 31, 12

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 31 x 12 = 20088

Least Common Multiple of 54,62,648 with GCF Formula

Least Common Multiple of 54,62,648 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 54,62,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,62,648) = 2

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

GCF(54,62,648) x common factors =2 x 54 = 108

LCM(54,62,648) = ( 54 × 62 × 648 ) / 108

LCM(54,62,648) = 2169504 / 108

LCM(54,62,648) = 20088


Lets's calculate GCF of 71,66,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20088/1

Therefore the LCM of Fractions 54/71,62/66,648/490 is 20088

Greatest Common Factor of 71,66,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,66,490 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 71,66,490 . The biggest common factor number is the GCF number.
So the greatest common factor 71,66,490 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 54/71, 62/66, 648/490

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 54/71, 62/66, 648/490?

Answer: LCM of Numerators as per given numbers 54/71, 62/66, 648/490 is

LCM of Numerators i.e. for 54,62,648 is 20088

GCF of denominators i.e. for 71,66,490 is 1.

Thus, LCM of Fractions is 20088.Finally, LCM of Fractions for 54/71, 62/66, 648/490 is 20088.