Least Common Multiple of 48/708, 34/722, 566/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/708, 34/722, 566/866 quickly i.e. 115464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/708, 34/722, 566/866 is 115464.

LCM(48/708, 34/722, 566/866) = 115464

LCM of 48/708, 34/722, 566/866

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 48/708,34/722,566/866

Given numbers are 48/708,34/722,566/866

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 48,34,566

Least Common Multiple of Numerators i.e. LCM of 48,34,566 is 230928.

GCF of Denominators means GCF of 708,722,866 as per the given fractions.

GCF of 708,722,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,34,566

LCM of Fractions 48/708,34/722,566/866 is 115464

2 48, 34, 566
24, 17, 283

∴ So the LCM of the given numbers is 2 x 24 x 17 x 283 = 230928

Least Common Multiple of 48,34,566 with GCF Formula

Least Common Multiple of 48,34,566 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 48,34,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,34,566) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(48,34,566) x common factors =2 x 2 = 4

LCM(48,34,566) = ( 48 × 34 × 566 ) / 4

LCM(48,34,566) = 923712 / 4

LCM(48,34,566) = 230928


Lets's calculate GCF of 708,722,866

2 708, 722, 866
354, 361, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230928/2

Therefore the LCM of Fractions 48/708,34/722,566/866 is 115464

Greatest Common Factor of 708,722,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,722,866 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 708,722,866 . The biggest common factor number is the GCF number.
So the greatest common factor 708,722,866 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 48/708, 34/722, 566/866

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 48/708, 34/722, 566/866?

Answer: LCM of Numerators as per given numbers 48/708, 34/722, 566/866 is

LCM of Numerators i.e. for 48,34,566 is 230928

GCF of denominators i.e. for 708,722,866 is 2.

Thus, LCM of Fractions is 115464.Finally, LCM of Fractions for 48/708, 34/722, 566/866 is 115464.