Least Common Multiple of 8914/270, 3092/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8914/270, 3092/105 quickly i.e. 13781044/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8914/270, 3092/105 is 13781044/15.

LCM(8914/270, 3092/105) = 13781044/15

LCM of 8914/270, 3092/105

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 8914/270,3092/105

Given numbers are 8914/270,3092/105

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 8914,3092

Least Common Multiple of Numerators i.e. LCM of 8914,3092 is 13781044.

GCF of Denominators means GCF of 270,105 as per the given fractions.

GCF of 270,105 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8914,3092

LCM of Fractions 8914/270,3092/105 is 13781044/15

2 8914, 3092
4457, 1546

∴ So the LCM of the given numbers is 2 x 4457 x 1546 = 13781044

Least Common Multiple of 8914,3092 with GCF Formula

Least Common Multiple of 8914,3092 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 8914,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8914,3092) = 2

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

GCF(8914,3092) x common factors =2 x 1 = 2

LCM(8914,3092) = ( 8914 × 3092 ) / 2

LCM(8914,3092) = 27562088 / 2

LCM(8914,3092) = 13781044


Lets's calculate GCF of 270,105

3 270, 105
5 90, 35
18, 7

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13781044/15

Therefore the LCM of Fractions 8914/270,3092/105 is 13781044/15

Greatest Common Factor of 270,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,105 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 270,105 . The biggest common factor number is the GCF number.
So the greatest common factor 270,105 is 15.


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 8914/270, 3092/105

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 8914/270, 3092/105?

Answer: LCM of Numerators as per given numbers 8914/270, 3092/105 is

LCM of Numerators i.e. for 8914,3092 is 13781044

GCF of denominators i.e. for 270,105 is 15.

Thus, LCM of Fractions is 13781044/15.Finally, LCM of Fractions for 8914/270, 3092/105 is 13781044/15.