Least Common Multiple of 3705/618, 3154/1516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3705/618, 3154/1516 quickly i.e. 307515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3705/618, 3154/1516 is 307515.

LCM(3705/618, 3154/1516) = 307515

LCM of 3705/618, 3154/1516

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 3705/618,3154/1516

Given numbers are 3705/618,3154/1516

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 3705,3154

Least Common Multiple of Numerators i.e. LCM of 3705,3154 is 615030.

GCF of Denominators means GCF of 618,1516 as per the given fractions.

GCF of 618,1516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3705,3154

LCM of Fractions 3705/618,3154/1516 is 307515

19 3705, 3154
195, 166

∴ So the LCM of the given numbers is 19 x 195 x 166 = 615030

Least Common Multiple of 3705,3154 with GCF Formula

Least Common Multiple of 3705,3154 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 3705,3154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3705,3154) = 19

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

GCF(3705,3154) x common factors =19 x 1 = 19

LCM(3705,3154) = ( 3705 × 3154 ) / 19

LCM(3705,3154) = 11685570 / 19

LCM(3705,3154) = 615030


Lets's calculate GCF of 618,1516

2 618, 1516
309, 758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615030/2

Therefore the LCM of Fractions 3705/618,3154/1516 is 307515

Greatest Common Factor of 618,1516 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,1516 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Greatest Common Factor

We found the factors 618,1516 . The biggest common factor number is the GCF number.
So the greatest common factor 618,1516 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 3705/618, 3154/1516

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 3705/618, 3154/1516?

Answer: LCM of Numerators as per given numbers 3705/618, 3154/1516 is

LCM of Numerators i.e. for 3705,3154 is 615030

GCF of denominators i.e. for 618,1516 is 2.

Thus, LCM of Fractions is 307515.Finally, LCM of Fractions for 3705/618, 3154/1516 is 307515.