Least Common Multiple of 60/787, 28/863, 943/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/787, 28/863, 943/665 quickly i.e. 396060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/787, 28/863, 943/665 is 396060.

LCM(60/787, 28/863, 943/665) = 396060

LCM of 60/787, 28/863, 943/665

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 60/787,28/863,943/665

Given numbers are 60/787,28/863,943/665

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 60,28,943

Least Common Multiple of Numerators i.e. LCM of 60,28,943 is 396060.

GCF of Denominators means GCF of 787,863,665 as per the given fractions.

GCF of 787,863,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,28,943

LCM of Fractions 60/787,28/863,943/665 is 396060

2 60, 28, 943
2 30, 14, 943
15, 7, 943

∴ So the LCM of the given numbers is 2 x 2 x 15 x 7 x 943 = 396060

Least Common Multiple of 60,28,943 with GCF Formula

Least Common Multiple of 60,28,943 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 60,28,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,28,943) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,28,943) x common factors =1 x 4 = 4

LCM(60,28,943) = ( 60 × 28 × 943 ) / 4

LCM(60,28,943) = 1584240 / 4

LCM(60,28,943) = 396060


Lets's calculate GCF of 787,863,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396060/1

Therefore the LCM of Fractions 60/787,28/863,943/665 is 396060

Greatest Common Factor of 787,863,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,863,665 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 787,863,665 . The biggest common factor number is the GCF number.
So the greatest common factor 787,863,665 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/787, 28/863, 943/665

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 60/787, 28/863, 943/665?

Answer: LCM of Numerators as per given numbers 60/787, 28/863, 943/665 is

LCM of Numerators i.e. for 60,28,943 is 396060

GCF of denominators i.e. for 787,863,665 is 1.

Thus, LCM of Fractions is 396060.Finally, LCM of Fractions for 60/787, 28/863, 943/665 is 396060.