Least Common Multiple of 34/842, 375/520, 217/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/842, 375/520, 217/273 quickly i.e. 2766750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/842, 375/520, 217/273 is 2766750.

LCM(34/842, 375/520, 217/273) = 2766750

LCM of 34/842, 375/520, 217/273

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 34/842,375/520,217/273

Given numbers are 34/842,375/520,217/273

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 34,375,217

Least Common Multiple of Numerators i.e. LCM of 34,375,217 is 2766750.

GCF of Denominators means GCF of 842,520,273 as per the given fractions.

GCF of 842,520,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,375,217

LCM of Fractions 34/842,375/520,217/273 is 2766750

Given numbers has no common factors except 1. So, there LCM is their product i.e 2766750

Least Common Multiple of 34,375,217 with GCF Formula

Least Common Multiple of 34,375,217 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 34,375,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,375,217) = 1

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

GCF(34,375,217) x common factors =1 x 1 = 1

LCM(34,375,217) = ( 34 × 375 × 217 ) / 1

LCM(34,375,217) = 2766750 / 1

LCM(34,375,217) = 2766750


Lets's calculate GCF of 842,520,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2766750/1

Therefore the LCM of Fractions 34/842,375/520,217/273 is 2766750

Greatest Common Factor of 842,520,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,520,273 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 842,520,273 . The biggest common factor number is the GCF number.
So the greatest common factor 842,520,273 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 34/842, 375/520, 217/273

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 34/842, 375/520, 217/273?

Answer: LCM of Numerators as per given numbers 34/842, 375/520, 217/273 is

LCM of Numerators i.e. for 34,375,217 is 2766750

GCF of denominators i.e. for 842,520,273 is 1.

Thus, LCM of Fractions is 2766750.Finally, LCM of Fractions for 34/842, 375/520, 217/273 is 2766750.