Least Common Multiple of 350/34, 274/6714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 350/34, 274/6714 quickly i.e. 23975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 350/34, 274/6714 is 23975.

LCM(350/34, 274/6714) = 23975

LCM of 350/34, 274/6714

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 350/34,274/6714

Given numbers are 350/34,274/6714

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 350,274

Least Common Multiple of Numerators i.e. LCM of 350,274 is 47950.

GCF of Denominators means GCF of 34,6714 as per the given fractions.

GCF of 34,6714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 350,274

LCM of Fractions 350/34,274/6714 is 23975

2 350, 274
175, 137

∴ So the LCM of the given numbers is 2 x 175 x 137 = 47950

Least Common Multiple of 350,274 with GCF Formula

Least Common Multiple of 350,274 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 350,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,274) = 2

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

GCF(350,274) x common factors =2 x 1 = 2

LCM(350,274) = ( 350 × 274 ) / 2

LCM(350,274) = 95900 / 2

LCM(350,274) = 47950


Lets's calculate GCF of 34,6714

2 34, 6714
17, 3357

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47950/2

Therefore the LCM of Fractions 350/34,274/6714 is 23975

Greatest Common Factor of 34,6714 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,6714 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 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1,2,3,6,9,18,373,746,1119,2238,3357,6714

Greatest Common Factor

We found the factors 34,6714 . The biggest common factor number is the GCF number.
So the greatest common factor 34,6714 is 2.


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 350/34, 274/6714

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 350/34, 274/6714?

Answer: LCM of Numerators as per given numbers 350/34, 274/6714 is

LCM of Numerators i.e. for 350,274 is 47950

GCF of denominators i.e. for 34,6714 is 2.

Thus, LCM of Fractions is 23975.Finally, LCM of Fractions for 350/34, 274/6714 is 23975.