Least Common Multiple of 774/631, 862/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 774/631, 862/488 quickly i.e. 333594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/631, 862/488 is 333594.

LCM(774/631, 862/488) = 333594

LCM of 774/631, 862/488

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 774/631,862/488

Given numbers are 774/631,862/488

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 774,862

Least Common Multiple of Numerators i.e. LCM of 774,862 is 333594.

GCF of Denominators means GCF of 631,488 as per the given fractions.

GCF of 631,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,862

LCM of Fractions 774/631,862/488 is 333594

2 774, 862
387, 431

∴ So the LCM of the given numbers is 2 x 387 x 431 = 333594

Least Common Multiple of 774,862 with GCF Formula

Least Common Multiple of 774,862 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 774,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,862) = 2

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

GCF(774,862) x common factors =2 x 1 = 2

LCM(774,862) = ( 774 × 862 ) / 2

LCM(774,862) = 667188 / 2

LCM(774,862) = 333594


Lets's calculate GCF of 631,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333594/1

Therefore the LCM of Fractions 774/631,862/488 is 333594

Greatest Common Factor of 631,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,488 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 631,488 . The biggest common factor number is the GCF number.
So the greatest common factor 631,488 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 774/631, 862/488

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 774/631, 862/488?

Answer: LCM of Numerators as per given numbers 774/631, 862/488 is

LCM of Numerators i.e. for 774,862 is 333594

GCF of denominators i.e. for 631,488 is 1.

Thus, LCM of Fractions is 333594.Finally, LCM of Fractions for 774/631, 862/488 is 333594.