Least Common Multiple of 614/37, 294/1146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/37, 294/1146 quickly i.e. 90258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/37, 294/1146 is 90258.

LCM(614/37, 294/1146) = 90258

LCM of 614/37, 294/1146

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 614/37,294/1146

Given numbers are 614/37,294/1146

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 614,294

Least Common Multiple of Numerators i.e. LCM of 614,294 is 90258.

GCF of Denominators means GCF of 37,1146 as per the given fractions.

GCF of 37,1146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,294

LCM of Fractions 614/37,294/1146 is 90258

2 614, 294
307, 147

∴ So the LCM of the given numbers is 2 x 307 x 147 = 90258

Least Common Multiple of 614,294 with GCF Formula

Least Common Multiple of 614,294 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 614,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,294) = 2

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

GCF(614,294) x common factors =2 x 1 = 2

LCM(614,294) = ( 614 × 294 ) / 2

LCM(614,294) = 180516 / 2

LCM(614,294) = 90258


Lets's calculate GCF of 37,1146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90258/1

Therefore the LCM of Fractions 614/37,294/1146 is 90258

Greatest Common Factor of 37,1146 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,1146 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 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1,2,3,6,191,382,573,1146

Greatest Common Factor

We found the factors 37,1146 . The biggest common factor number is the GCF number.
So the greatest common factor 37,1146 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 614/37, 294/1146

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 614/37, 294/1146?

Answer: LCM of Numerators as per given numbers 614/37, 294/1146 is

LCM of Numerators i.e. for 614,294 is 90258

GCF of denominators i.e. for 37,1146 is 1.

Thus, LCM of Fractions is 90258.Finally, LCM of Fractions for 614/37, 294/1146 is 90258.