Least Common Multiple of 35/267, 89/823, 390/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/267, 89/823, 390/439 quickly i.e. 242970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/267, 89/823, 390/439 is 242970.

LCM(35/267, 89/823, 390/439) = 242970

LCM of 35/267, 89/823, 390/439

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 35/267,89/823,390/439

Given numbers are 35/267,89/823,390/439

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 35,89,390

Least Common Multiple of Numerators i.e. LCM of 35,89,390 is 242970.

GCF of Denominators means GCF of 267,823,439 as per the given fractions.

GCF of 267,823,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,89,390

LCM of Fractions 35/267,89/823,390/439 is 242970

5 35, 89, 390
7, 89, 78

∴ So the LCM of the given numbers is 5 x 7 x 89 x 78 = 242970

Least Common Multiple of 35,89,390 with GCF Formula

Least Common Multiple of 35,89,390 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 35,89,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,89,390) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,89,390) x common factors =1 x 5 = 5

LCM(35,89,390) = ( 35 × 89 × 390 ) / 5

LCM(35,89,390) = 1214850 / 5

LCM(35,89,390) = 242970


Lets's calculate GCF of 267,823,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242970/1

Therefore the LCM of Fractions 35/267,89/823,390/439 is 242970

Greatest Common Factor of 267,823,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,823,439 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 267,823,439 . The biggest common factor number is the GCF number.
So the greatest common factor 267,823,439 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 35/267, 89/823, 390/439

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 35/267, 89/823, 390/439?

Answer: LCM of Numerators as per given numbers 35/267, 89/823, 390/439 is

LCM of Numerators i.e. for 35,89,390 is 242970

GCF of denominators i.e. for 267,823,439 is 1.

Thus, LCM of Fractions is 242970.Finally, LCM of Fractions for 35/267, 89/823, 390/439 is 242970.