Least Common Multiple of 767/51, 145/41, 588/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/51, 145/41, 588/784 quickly i.e. 65394420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/51, 145/41, 588/784 is 65394420.

LCM(767/51, 145/41, 588/784) = 65394420

LCM of 767/51, 145/41, 588/784

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 767/51,145/41,588/784

Given numbers are 767/51,145/41,588/784

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 767,145,588

Least Common Multiple of Numerators i.e. LCM of 767,145,588 is 65394420.

GCF of Denominators means GCF of 51,41,784 as per the given fractions.

GCF of 51,41,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,145,588

LCM of Fractions 767/51,145/41,588/784 is 65394420

Given numbers has no common factors except 1. So, there LCM is their product i.e 65394420

Least Common Multiple of 767,145,588 with GCF Formula

Least Common Multiple of 767,145,588 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 767,145,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,145,588) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(767,145,588) x common factors =1 x 1 = 1

LCM(767,145,588) = ( 767 × 145 × 588 ) / 1

LCM(767,145,588) = 65394420 / 1

LCM(767,145,588) = 65394420


Lets's calculate GCF of 51,41,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65394420/1

Therefore the LCM of Fractions 767/51,145/41,588/784 is 65394420

Greatest Common Factor of 51,41,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,41,784 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 51,41,784 . The biggest common factor number is the GCF number.
So the greatest common factor 51,41,784 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 767/51, 145/41, 588/784

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 767/51, 145/41, 588/784?

Answer: LCM of Numerators as per given numbers 767/51, 145/41, 588/784 is

LCM of Numerators i.e. for 767,145,588 is 65394420

GCF of denominators i.e. for 51,41,784 is 1.

Thus, LCM of Fractions is 65394420.Finally, LCM of Fractions for 767/51, 145/41, 588/784 is 65394420.