Least Common Multiple of 67/472, 77/580, 335/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/472, 77/580, 335/963 quickly i.e. 25795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/472, 77/580, 335/963 is 25795.

LCM(67/472, 77/580, 335/963) = 25795

LCM of 67/472, 77/580, 335/963

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 67/472,77/580,335/963

Given numbers are 67/472,77/580,335/963

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 67,77,335

Least Common Multiple of Numerators i.e. LCM of 67,77,335 is 25795.

GCF of Denominators means GCF of 472,580,963 as per the given fractions.

GCF of 472,580,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,77,335

LCM of Fractions 67/472,77/580,335/963 is 25795

67 67, 77, 335
1, 77, 5

∴ So the LCM of the given numbers is 67 x 1 x 77 x 5 = 25795

Least Common Multiple of 67,77,335 with GCF Formula

Least Common Multiple of 67,77,335 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 67,77,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,77,335) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(67,77,335) x common factors =1 x 67 = 67

LCM(67,77,335) = ( 67 × 77 × 335 ) / 67

LCM(67,77,335) = 1728265 / 67

LCM(67,77,335) = 25795


Lets's calculate GCF of 472,580,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25795/1

Therefore the LCM of Fractions 67/472,77/580,335/963 is 25795

Greatest Common Factor of 472,580,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,580,963 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 472,580,963 . The biggest common factor number is the GCF number.
So the greatest common factor 472,580,963 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 67/472, 77/580, 335/963

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 67/472, 77/580, 335/963?

Answer: LCM of Numerators as per given numbers 67/472, 77/580, 335/963 is

LCM of Numerators i.e. for 67,77,335 is 25795

GCF of denominators i.e. for 472,580,963 is 1.

Thus, LCM of Fractions is 25795.Finally, LCM of Fractions for 67/472, 77/580, 335/963 is 25795.