Least Common Multiple of 918/142, 2306/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/142, 2306/879 quickly i.e. 1058454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/142, 2306/879 is 1058454.

LCM(918/142, 2306/879) = 1058454

LCM of 918/142, 2306/879

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 918/142,2306/879

Given numbers are 918/142,2306/879

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 918,2306

Least Common Multiple of Numerators i.e. LCM of 918,2306 is 1058454.

GCF of Denominators means GCF of 142,879 as per the given fractions.

GCF of 142,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,2306

LCM of Fractions 918/142,2306/879 is 1058454

2 918, 2306
459, 1153

∴ So the LCM of the given numbers is 2 x 459 x 1153 = 1058454

Least Common Multiple of 918,2306 with GCF Formula

Least Common Multiple of 918,2306 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 918,2306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,2306) = 2

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

GCF(918,2306) x common factors =2 x 1 = 2

LCM(918,2306) = ( 918 × 2306 ) / 2

LCM(918,2306) = 2116908 / 2

LCM(918,2306) = 1058454


Lets's calculate GCF of 142,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1058454/1

Therefore the LCM of Fractions 918/142,2306/879 is 1058454

Greatest Common Factor of 142,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,879 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 142,879 . The biggest common factor number is the GCF number.
So the greatest common factor 142,879 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 918/142, 2306/879

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 918/142, 2306/879?

Answer: LCM of Numerators as per given numbers 918/142, 2306/879 is

LCM of Numerators i.e. for 918,2306 is 1058454

GCF of denominators i.e. for 142,879 is 1.

Thus, LCM of Fractions is 1058454.Finally, LCM of Fractions for 918/142, 2306/879 is 1058454.