Least Common Multiple of 962/86, 780/24, 727/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 962/86, 780/24, 727/15 quickly i.e. 20981220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 962/86, 780/24, 727/15 is 20981220.

LCM(962/86, 780/24, 727/15) = 20981220

LCM of 962/86, 780/24, 727/15

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 962/86,780/24,727/15

Given numbers are 962/86,780/24,727/15

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 962,780,727

Least Common Multiple of Numerators i.e. LCM of 962,780,727 is 20981220.

GCF of Denominators means GCF of 86,24,15 as per the given fractions.

GCF of 86,24,15 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 962,780,727

LCM of Fractions 962/86,780/24,727/15 is 20981220

2 962, 780, 727
13 481, 390, 727
37, 30, 727

∴ So the LCM of the given numbers is 2 x 13 x 37 x 30 x 727 = 20981220

Least Common Multiple of 962,780,727 with GCF Formula

Least Common Multiple of 962,780,727 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 962,780,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,780,727) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(962,780,727) x common factors =1 x 26 = 26

LCM(962,780,727) = ( 962 × 780 × 727 ) / 26

LCM(962,780,727) = 545511720 / 26

LCM(962,780,727) = 20981220


Lets's calculate GCF of 86,24,15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20981220/1

Therefore the LCM of Fractions 962/86,780/24,727/15 is 20981220

Greatest Common Factor of 86,24,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,24,15 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 86,24,15 . The biggest common factor number is the GCF number.
So the greatest common factor 86,24,15 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 962/86, 780/24, 727/15

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 962/86, 780/24, 727/15?

Answer: LCM of Numerators as per given numbers 962/86, 780/24, 727/15 is

LCM of Numerators i.e. for 962,780,727 is 20981220

GCF of denominators i.e. for 86,24,15 is 1.

Thus, LCM of Fractions is 20981220.Finally, LCM of Fractions for 962/86, 780/24, 727/15 is 20981220.