Least Common Multiple of 870/83, 203/24, 380/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/83, 203/24, 380/353 quickly i.e. 231420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/83, 203/24, 380/353 is 231420.

LCM(870/83, 203/24, 380/353) = 231420

LCM of 870/83, 203/24, 380/353

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 870/83,203/24,380/353

Given numbers are 870/83,203/24,380/353

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 870,203,380

Least Common Multiple of Numerators i.e. LCM of 870,203,380 is 231420.

GCF of Denominators means GCF of 83,24,353 as per the given fractions.

GCF of 83,24,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,203,380

LCM of Fractions 870/83,203/24,380/353 is 231420

2 870, 203, 380
5 435, 203, 190
29 87, 203, 38
3, 7, 38

∴ So the LCM of the given numbers is 2 x 5 x 29 x 3 x 7 x 38 = 231420

Least Common Multiple of 870,203,380 with GCF Formula

Least Common Multiple of 870,203,380 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 870,203,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,203,380) = 1

common factors(in case of two or more numbers have common factors) = 290

GCF(870,203,380) x common factors =1 x 290 = 290

LCM(870,203,380) = ( 870 × 203 × 380 ) / 290

LCM(870,203,380) = 67111800 / 290

LCM(870,203,380) = 231420


Lets's calculate GCF of 83,24,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231420/1

Therefore the LCM of Fractions 870/83,203/24,380/353 is 231420

Greatest Common Factor of 83,24,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,24,353 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 83,24,353 . The biggest common factor number is the GCF number.
So the greatest common factor 83,24,353 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 870/83, 203/24, 380/353

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 870/83, 203/24, 380/353?

Answer: LCM of Numerators as per given numbers 870/83, 203/24, 380/353 is

LCM of Numerators i.e. for 870,203,380 is 231420

GCF of denominators i.e. for 83,24,353 is 1.

Thus, LCM of Fractions is 231420.Finally, LCM of Fractions for 870/83, 203/24, 380/353 is 231420.