Least Common Multiple of 488/774, 767/709, 649/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/774, 767/709, 649/284 quickly i.e. 4117256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/774, 767/709, 649/284 is 4117256.

LCM(488/774, 767/709, 649/284) = 4117256

LCM of 488/774, 767/709, 649/284

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 488/774,767/709,649/284

Given numbers are 488/774,767/709,649/284

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 488,767,649

Least Common Multiple of Numerators i.e. LCM of 488,767,649 is 4117256.

GCF of Denominators means GCF of 774,709,284 as per the given fractions.

GCF of 774,709,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,767,649

LCM of Fractions 488/774,767/709,649/284 is 4117256

59 488, 767, 649
488, 13, 11

∴ So the LCM of the given numbers is 59 x 488 x 13 x 11 = 4117256

Least Common Multiple of 488,767,649 with GCF Formula

Least Common Multiple of 488,767,649 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 488,767,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,767,649) = 1

common factors(in case of two or more numbers have common factors) = 59

GCF(488,767,649) x common factors =1 x 59 = 59

LCM(488,767,649) = ( 488 × 767 × 649 ) / 59

LCM(488,767,649) = 242918104 / 59

LCM(488,767,649) = 4117256


Lets's calculate GCF of 774,709,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4117256/1

Therefore the LCM of Fractions 488/774,767/709,649/284 is 4117256

Greatest Common Factor of 774,709,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,709,284 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 774,709,284 . The biggest common factor number is the GCF number.
So the greatest common factor 774,709,284 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 488/774, 767/709, 649/284

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 488/774, 767/709, 649/284?

Answer: LCM of Numerators as per given numbers 488/774, 767/709, 649/284 is

LCM of Numerators i.e. for 488,767,649 is 4117256

GCF of denominators i.e. for 774,709,284 is 1.

Thus, LCM of Fractions is 4117256.Finally, LCM of Fractions for 488/774, 767/709, 649/284 is 4117256.