Least Common Multiple of 143/60, 439/87, 228/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 143/60, 439/87, 228/341 quickly i.e. 14313156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/60, 439/87, 228/341 is 14313156.

LCM(143/60, 439/87, 228/341) = 14313156

LCM of 143/60, 439/87, 228/341

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 143/60,439/87,228/341

Given numbers are 143/60,439/87,228/341

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 143,439,228

Least Common Multiple of Numerators i.e. LCM of 143,439,228 is 14313156.

GCF of Denominators means GCF of 60,87,341 as per the given fractions.

GCF of 60,87,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,439,228

LCM of Fractions 143/60,439/87,228/341 is 14313156

Given numbers has no common factors except 1. So, there LCM is their product i.e 14313156

Least Common Multiple of 143,439,228 with GCF Formula

Least Common Multiple of 143,439,228 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 143,439,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,439,228) = 1

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

GCF(143,439,228) x common factors =1 x 1 = 1

LCM(143,439,228) = ( 143 × 439 × 228 ) / 1

LCM(143,439,228) = 14313156 / 1

LCM(143,439,228) = 14313156


Lets's calculate GCF of 60,87,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14313156/1

Therefore the LCM of Fractions 143/60,439/87,228/341 is 14313156

Greatest Common Factor of 60,87,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,87,341 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 60,87,341 . The biggest common factor number is the GCF number.
So the greatest common factor 60,87,341 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 143/60, 439/87, 228/341

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 143/60, 439/87, 228/341?

Answer: LCM of Numerators as per given numbers 143/60, 439/87, 228/341 is

LCM of Numerators i.e. for 143,439,228 is 14313156

GCF of denominators i.e. for 60,87,341 is 1.

Thus, LCM of Fractions is 14313156.Finally, LCM of Fractions for 143/60, 439/87, 228/341 is 14313156.