Least Common Multiple of 34/100, 57/143, 918/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/100, 57/143, 918/419 quickly i.e. 17442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/100, 57/143, 918/419 is 17442.

LCM(34/100, 57/143, 918/419) = 17442

LCM of 34/100, 57/143, 918/419

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 34/100,57/143,918/419

Given numbers are 34/100,57/143,918/419

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 34,57,918

Least Common Multiple of Numerators i.e. LCM of 34,57,918 is 17442.

GCF of Denominators means GCF of 100,143,419 as per the given fractions.

GCF of 100,143,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,57,918

LCM of Fractions 34/100,57/143,918/419 is 17442

2 34, 57, 918
3 17, 57, 459
17 17, 19, 153
1, 19, 9

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 19 x 9 = 17442

Least Common Multiple of 34,57,918 with GCF Formula

Least Common Multiple of 34,57,918 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 34,57,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,57,918) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(34,57,918) x common factors =1 x 102 = 102

LCM(34,57,918) = ( 34 × 57 × 918 ) / 102

LCM(34,57,918) = 1779084 / 102

LCM(34,57,918) = 17442


Lets's calculate GCF of 100,143,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17442/1

Therefore the LCM of Fractions 34/100,57/143,918/419 is 17442

Greatest Common Factor of 100,143,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,143,419 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 100,143,419 . The biggest common factor number is the GCF number.
So the greatest common factor 100,143,419 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 34/100, 57/143, 918/419

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 34/100, 57/143, 918/419?

Answer: LCM of Numerators as per given numbers 34/100, 57/143, 918/419 is

LCM of Numerators i.e. for 34,57,918 is 17442

GCF of denominators i.e. for 100,143,419 is 1.

Thus, LCM of Fractions is 17442.Finally, LCM of Fractions for 34/100, 57/143, 918/419 is 17442.