Least Common Multiple of 34/37, 42/691, 211/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/37, 42/691, 211/937 quickly i.e. 150654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/37, 42/691, 211/937 is 150654.

LCM(34/37, 42/691, 211/937) = 150654

LCM of 34/37, 42/691, 211/937

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 34/37,42/691,211/937

Given numbers are 34/37,42/691,211/937

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 34,42,211

Least Common Multiple of Numerators i.e. LCM of 34,42,211 is 150654.

GCF of Denominators means GCF of 37,691,937 as per the given fractions.

GCF of 37,691,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,42,211

LCM of Fractions 34/37,42/691,211/937 is 150654

2 34, 42, 211
17, 21, 211

∴ So the LCM of the given numbers is 2 x 17 x 21 x 211 = 150654

Least Common Multiple of 34,42,211 with GCF Formula

Least Common Multiple of 34,42,211 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 34,42,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,42,211) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,42,211) x common factors =1 x 2 = 2

LCM(34,42,211) = ( 34 × 42 × 211 ) / 2

LCM(34,42,211) = 301308 / 2

LCM(34,42,211) = 150654


Lets's calculate GCF of 37,691,937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150654/1

Therefore the LCM of Fractions 34/37,42/691,211/937 is 150654

Greatest Common Factor of 37,691,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,691,937 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 37,691,937 . The biggest common factor number is the GCF number.
So the greatest common factor 37,691,937 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 34/37, 42/691, 211/937

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 34/37, 42/691, 211/937?

Answer: LCM of Numerators as per given numbers 34/37, 42/691, 211/937 is

LCM of Numerators i.e. for 34,42,211 is 150654

GCF of denominators i.e. for 37,691,937 is 1.

Thus, LCM of Fractions is 150654.Finally, LCM of Fractions for 34/37, 42/691, 211/937 is 150654.