Least Common Multiple of 8710/138, 4338/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8710/138, 4338/270 quickly i.e. 3148665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8710/138, 4338/270 is 3148665.

LCM(8710/138, 4338/270) = 3148665

LCM of 8710/138, 4338/270

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 8710/138,4338/270

Given numbers are 8710/138,4338/270

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 8710,4338

Least Common Multiple of Numerators i.e. LCM of 8710,4338 is 18891990.

GCF of Denominators means GCF of 138,270 as per the given fractions.

GCF of 138,270 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8710,4338

LCM of Fractions 8710/138,4338/270 is 3148665

2 8710, 4338
4355, 2169

∴ So the LCM of the given numbers is 2 x 4355 x 2169 = 18891990

Least Common Multiple of 8710,4338 with GCF Formula

Least Common Multiple of 8710,4338 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 8710,4338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8710,4338) = 2

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

GCF(8710,4338) x common factors =2 x 1 = 2

LCM(8710,4338) = ( 8710 × 4338 ) / 2

LCM(8710,4338) = 37783980 / 2

LCM(8710,4338) = 18891990


Lets's calculate GCF of 138,270

2 138, 270
3 69, 135
23, 45

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18891990/6

Therefore the LCM of Fractions 8710/138,4338/270 is 3148665

Greatest Common Factor of 138,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,270 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

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

Greatest Common Factor

We found the factors 138,270 . The biggest common factor number is the GCF number.
So the greatest common factor 138,270 is 6.


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 8710/138, 4338/270

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 8710/138, 4338/270?

Answer: LCM of Numerators as per given numbers 8710/138, 4338/270 is

LCM of Numerators i.e. for 8710,4338 is 18891990

GCF of denominators i.e. for 138,270 is 6.

Thus, LCM of Fractions is 3148665.Finally, LCM of Fractions for 8710/138, 4338/270 is 3148665.