Least Common Multiple of 21/715, 52/451, 648/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/715, 52/451, 648/606 quickly i.e. 58968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/715, 52/451, 648/606 is 58968.

LCM(21/715, 52/451, 648/606) = 58968

LCM of 21/715, 52/451, 648/606

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 21/715,52/451,648/606

Given numbers are 21/715,52/451,648/606

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 21,52,648

Least Common Multiple of Numerators i.e. LCM of 21,52,648 is 58968.

GCF of Denominators means GCF of 715,451,606 as per the given fractions.

GCF of 715,451,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,52,648

LCM of Fractions 21/715,52/451,648/606 is 58968

2 21, 52, 648
2 21, 26, 324
3 21, 13, 162
7, 13, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 54 = 58968

Least Common Multiple of 21,52,648 with GCF Formula

Least Common Multiple of 21,52,648 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 21,52,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,52,648) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(21,52,648) x common factors =1 x 12 = 12

LCM(21,52,648) = ( 21 × 52 × 648 ) / 12

LCM(21,52,648) = 707616 / 12

LCM(21,52,648) = 58968


Lets's calculate GCF of 715,451,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58968/1

Therefore the LCM of Fractions 21/715,52/451,648/606 is 58968

Greatest Common Factor of 715,451,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,451,606 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 715,451,606 . The biggest common factor number is the GCF number.
So the greatest common factor 715,451,606 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 21/715, 52/451, 648/606

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 21/715, 52/451, 648/606?

Answer: LCM of Numerators as per given numbers 21/715, 52/451, 648/606 is

LCM of Numerators i.e. for 21,52,648 is 58968

GCF of denominators i.e. for 715,451,606 is 1.

Thus, LCM of Fractions is 58968.Finally, LCM of Fractions for 21/715, 52/451, 648/606 is 58968.