Least Common Multiple of 864/26, 988/4314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/26, 988/4314 quickly i.e. 106704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/26, 988/4314 is 106704.

LCM(864/26, 988/4314) = 106704

LCM of 864/26, 988/4314

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 864/26,988/4314

Given numbers are 864/26,988/4314

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 864,988

Least Common Multiple of Numerators i.e. LCM of 864,988 is 213408.

GCF of Denominators means GCF of 26,4314 as per the given fractions.

GCF of 26,4314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,988

LCM of Fractions 864/26,988/4314 is 106704

2 864, 988
2 432, 494
216, 247

∴ So the LCM of the given numbers is 2 x 2 x 216 x 247 = 213408

Least Common Multiple of 864,988 with GCF Formula

Least Common Multiple of 864,988 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 864,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,988) = 4

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

GCF(864,988) x common factors =4 x 1 = 4

LCM(864,988) = ( 864 × 988 ) / 4

LCM(864,988) = 853632 / 4

LCM(864,988) = 213408


Lets's calculate GCF of 26,4314

2 26, 4314
13, 2157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213408/2

Therefore the LCM of Fractions 864/26,988/4314 is 106704

Greatest Common Factor of 26,4314 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,4314 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1,2,3,6,719,1438,2157,4314

Greatest Common Factor

We found the factors 26,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 26,4314 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 864/26, 988/4314

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 864/26, 988/4314?

Answer: LCM of Numerators as per given numbers 864/26, 988/4314 is

LCM of Numerators i.e. for 864,988 is 213408

GCF of denominators i.e. for 26,4314 is 2.

Thus, LCM of Fractions is 106704.Finally, LCM of Fractions for 864/26, 988/4314 is 106704.