Least Common Multiple of 702/286, 657/763, 312/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/286, 657/763, 312/290 quickly i.e. 204984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/286, 657/763, 312/290 is 204984.

LCM(702/286, 657/763, 312/290) = 204984

LCM of 702/286, 657/763, 312/290

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 702/286,657/763,312/290

Given numbers are 702/286,657/763,312/290

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 702,657,312

Least Common Multiple of Numerators i.e. LCM of 702,657,312 is 204984.

GCF of Denominators means GCF of 286,763,290 as per the given fractions.

GCF of 286,763,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,657,312

LCM of Fractions 702/286,657/763,312/290 is 204984

2 702, 657, 312
3 351, 657, 156
3 117, 219, 52
13 39, 73, 52
3, 73, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 3 x 73 x 4 = 204984

Least Common Multiple of 702,657,312 with GCF Formula

Least Common Multiple of 702,657,312 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 702,657,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,657,312) = 3

common factors(in case of two or more numbers have common factors) = 234

GCF(702,657,312) x common factors =3 x 234 = 702

LCM(702,657,312) = ( 702 × 657 × 312 ) / 702

LCM(702,657,312) = 143898768 / 702

LCM(702,657,312) = 204984


Lets's calculate GCF of 286,763,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204984/1

Therefore the LCM of Fractions 702/286,657/763,312/290 is 204984

Greatest Common Factor of 286,763,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,763,290 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 286,763,290 . The biggest common factor number is the GCF number.
So the greatest common factor 286,763,290 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 702/286, 657/763, 312/290

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 702/286, 657/763, 312/290?

Answer: LCM of Numerators as per given numbers 702/286, 657/763, 312/290 is

LCM of Numerators i.e. for 702,657,312 is 204984

GCF of denominators i.e. for 286,763,290 is 1.

Thus, LCM of Fractions is 204984.Finally, LCM of Fractions for 702/286, 657/763, 312/290 is 204984.