Least Common Multiple of 86/918, 2718/9856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/918, 2718/9856 quickly i.e. 58437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/918, 2718/9856 is 58437.

LCM(86/918, 2718/9856) = 58437

LCM of 86/918, 2718/9856

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 86/918,2718/9856

Given numbers are 86/918,2718/9856

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 86,2718

Least Common Multiple of Numerators i.e. LCM of 86,2718 is 116874.

GCF of Denominators means GCF of 918,9856 as per the given fractions.

GCF of 918,9856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,2718

LCM of Fractions 86/918,2718/9856 is 58437

2 86, 2718
43, 1359

∴ So the LCM of the given numbers is 2 x 43 x 1359 = 116874

Least Common Multiple of 86,2718 with GCF Formula

Least Common Multiple of 86,2718 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 86,2718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,2718) = 2

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

GCF(86,2718) x common factors =2 x 1 = 2

LCM(86,2718) = ( 86 × 2718 ) / 2

LCM(86,2718) = 233748 / 2

LCM(86,2718) = 116874


Lets's calculate GCF of 918,9856

2 918, 9856
459, 4928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116874/2

Therefore the LCM of Fractions 86/918,2718/9856 is 58437

Greatest Common Factor of 918,9856 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,9856 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856

Greatest Common Factor

We found the factors 918,9856 . The biggest common factor number is the GCF number.
So the greatest common factor 918,9856 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 86/918, 2718/9856

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 86/918, 2718/9856?

Answer: LCM of Numerators as per given numbers 86/918, 2718/9856 is

LCM of Numerators i.e. for 86,2718 is 116874

GCF of denominators i.e. for 918,9856 is 2.

Thus, LCM of Fractions is 58437.Finally, LCM of Fractions for 86/918, 2718/9856 is 58437.