Least Common Multiple of 863/66, 708/92, 471/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 863/66, 708/92, 471/780 quickly i.e. 47963814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/66, 708/92, 471/780 is 47963814.

LCM(863/66, 708/92, 471/780) = 47963814

LCM of 863/66, 708/92, 471/780

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 863/66,708/92,471/780

Given numbers are 863/66,708/92,471/780

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 863,708,471

Least Common Multiple of Numerators i.e. LCM of 863,708,471 is 95927628.

GCF of Denominators means GCF of 66,92,780 as per the given fractions.

GCF of 66,92,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,708,471

LCM of Fractions 863/66,708/92,471/780 is 47963814

3 863, 708, 471
863, 236, 157

∴ So the LCM of the given numbers is 3 x 863 x 236 x 157 = 95927628

Least Common Multiple of 863,708,471 with GCF Formula

Least Common Multiple of 863,708,471 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 863,708,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,708,471) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(863,708,471) x common factors =1 x 3 = 3

LCM(863,708,471) = ( 863 × 708 × 471 ) / 3

LCM(863,708,471) = 287782884 / 3

LCM(863,708,471) = 95927628


Lets's calculate GCF of 66,92,780

2 66, 92, 780
33, 46, 390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95927628/2

Therefore the LCM of Fractions 863/66,708/92,471/780 is 47963814

Greatest Common Factor of 66,92,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,92,780 By Matching Biggest Common Factor Method

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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 66,92,780 . The biggest common factor number is the GCF number.
So the greatest common factor 66,92,780 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 863/66, 708/92, 471/780

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 863/66, 708/92, 471/780?

Answer: LCM of Numerators as per given numbers 863/66, 708/92, 471/780 is

LCM of Numerators i.e. for 863,708,471 is 95927628

GCF of denominators i.e. for 66,92,780 is 2.

Thus, LCM of Fractions is 47963814.Finally, LCM of Fractions for 863/66, 708/92, 471/780 is 47963814.