Least Common Multiple of 3/34, 23/37, 310/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/34, 23/37, 310/49 quickly i.e. 21390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/34, 23/37, 310/49 is 21390.

LCM(3/34, 23/37, 310/49) = 21390

LCM of 3/34, 23/37, 310/49

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 3/34,23/37,310/49

Given numbers are 3/34,23/37,310/49

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 3,23,310

Least Common Multiple of Numerators i.e. LCM of 3,23,310 is 21390.

GCF of Denominators means GCF of 34,37,49 as per the given fractions.

GCF of 34,37,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,23,310

LCM of Fractions 3/34,23/37,310/49 is 21390

Given numbers has no common factors except 1. So, there LCM is their product i.e 21390

Least Common Multiple of 3,23,310 with GCF Formula

Least Common Multiple of 3,23,310 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 3,23,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,23,310) = 1

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

GCF(3,23,310) x common factors =1 x 1 = 1

LCM(3,23,310) = ( 3 × 23 × 310 ) / 1

LCM(3,23,310) = 21390 / 1

LCM(3,23,310) = 21390


Lets's calculate GCF of 34,37,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21390/1

Therefore the LCM of Fractions 3/34,23/37,310/49 is 21390

Greatest Common Factor of 34,37,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,37,49 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 37

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

1,37

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 34,37,49 . The biggest common factor number is the GCF number.
So the greatest common factor 34,37,49 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 3/34, 23/37, 310/49

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 3/34, 23/37, 310/49?

Answer: LCM of Numerators as per given numbers 3/34, 23/37, 310/49 is

LCM of Numerators i.e. for 3,23,310 is 21390

GCF of denominators i.e. for 34,37,49 is 1.

Thus, LCM of Fractions is 21390.Finally, LCM of Fractions for 3/34, 23/37, 310/49 is 21390.