Least Common Multiple of 643/722, 692/873, 289/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/722, 692/873, 289/312 quickly i.e. 128592284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/722, 692/873, 289/312 is 128592284.

LCM(643/722, 692/873, 289/312) = 128592284

LCM of 643/722, 692/873, 289/312

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 643/722,692/873,289/312

Given numbers are 643/722,692/873,289/312

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 643,692,289

Least Common Multiple of Numerators i.e. LCM of 643,692,289 is 128592284.

GCF of Denominators means GCF of 722,873,312 as per the given fractions.

GCF of 722,873,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,692,289

LCM of Fractions 643/722,692/873,289/312 is 128592284

Given numbers has no common factors except 1. So, there LCM is their product i.e 128592284

Least Common Multiple of 643,692,289 with GCF Formula

Least Common Multiple of 643,692,289 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 643,692,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,692,289) = 1

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

GCF(643,692,289) x common factors =1 x 1 = 1

LCM(643,692,289) = ( 643 × 692 × 289 ) / 1

LCM(643,692,289) = 128592284 / 1

LCM(643,692,289) = 128592284


Lets's calculate GCF of 722,873,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128592284/1

Therefore the LCM of Fractions 643/722,692/873,289/312 is 128592284

Greatest Common Factor of 722,873,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,873,312 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 722,873,312 . The biggest common factor number is the GCF number.
So the greatest common factor 722,873,312 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 643/722, 692/873, 289/312

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 643/722, 692/873, 289/312?

Answer: LCM of Numerators as per given numbers 643/722, 692/873, 289/312 is

LCM of Numerators i.e. for 643,692,289 is 128592284

GCF of denominators i.e. for 722,873,312 is 1.

Thus, LCM of Fractions is 128592284.Finally, LCM of Fractions for 643/722, 692/873, 289/312 is 128592284.