Least Common Multiple of 43/102, 278/810, 214/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/102, 278/810, 214/909 quickly i.e. 1279078/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/102, 278/810, 214/909 is 1279078/3.

LCM(43/102, 278/810, 214/909) = 1279078/3

LCM of 43/102, 278/810, 214/909

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 43/102,278/810,214/909

Given numbers are 43/102,278/810,214/909

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 43,278,214

Least Common Multiple of Numerators i.e. LCM of 43,278,214 is 1279078.

GCF of Denominators means GCF of 102,810,909 as per the given fractions.

GCF of 102,810,909 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,278,214

LCM of Fractions 43/102,278/810,214/909 is 1279078/3

2 43, 278, 214
43, 139, 107

∴ So the LCM of the given numbers is 2 x 43 x 139 x 107 = 1279078

Least Common Multiple of 43,278,214 with GCF Formula

Least Common Multiple of 43,278,214 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 43,278,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,278,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,278,214) x common factors =1 x 2 = 2

LCM(43,278,214) = ( 43 × 278 × 214 ) / 2

LCM(43,278,214) = 2558156 / 2

LCM(43,278,214) = 1279078


Lets's calculate GCF of 102,810,909

3 102, 810, 909
34, 270, 303

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279078/3

Therefore the LCM of Fractions 43/102,278/810,214/909 is 1279078/3

Greatest Common Factor of 102,810,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,810,909 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 102,810,909 . The biggest common factor number is the GCF number.
So the greatest common factor 102,810,909 is 3.


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 43/102, 278/810, 214/909

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 43/102, 278/810, 214/909?

Answer: LCM of Numerators as per given numbers 43/102, 278/810, 214/909 is

LCM of Numerators i.e. for 43,278,214 is 1279078

GCF of denominators i.e. for 102,810,909 is 3.

Thus, LCM of Fractions is 1279078/3.Finally, LCM of Fractions for 43/102, 278/810, 214/909 is 1279078/3.