Least Common Multiple of 26/51, 24/66, 31/44, 89/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/51, 24/66, 31/44, 89/386 quickly i.e. 860808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/51, 24/66, 31/44, 89/386 is 860808.

LCM(26/51, 24/66, 31/44, 89/386) = 860808

LCM of 26/51, 24/66, 31/44, 89/386

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 26/51,24/66,31/44,89/386

Given numbers are 26/51,24/66,31/44,89/386

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 26,24,31,89

Least Common Multiple of Numerators i.e. LCM of 26,24,31,89 is 860808.

GCF of Denominators means GCF of 51,66,44,386 as per the given fractions.

GCF of 51,66,44,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,24,31,89

LCM of Fractions 26/51,24/66,31/44,89/386 is 860808

2 26, 24, 31, 89
13, 12, 31, 89

∴ So the LCM of the given numbers is 2 x 13 x 12 x 31 x 89 = 860808

Least Common Multiple of 26,24,31,89 with GCF Formula

Least Common Multiple of 26,24,31,89 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 26,24,31,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,24,31,89) = 1

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

GCF(26,24,31,89) x common factors =1 x 2 = 2

LCM(26,24,31,89) = ( 26 × 24 × 31 × 89 ) / 2

LCM(26,24,31,89) = 1721616 / 2

LCM(26,24,31,89) = 860808


Lets's calculate GCF of 51,66,44,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 860808/1

Therefore the LCM of Fractions 26/51,24/66,31/44,89/386 is 860808

Greatest Common Factor of 51,66,44,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,66,44,386 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 51,66,44,386 . The biggest common factor number is the GCF number.
So the greatest common factor 51,66,44,386 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 26/51, 24/66, 31/44, 89/386

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 26/51, 24/66, 31/44, 89/386?

Answer: LCM of Numerators as per given numbers 26/51, 24/66, 31/44, 89/386 is

LCM of Numerators i.e. for 26,24,31,89 is 860808

GCF of denominators i.e. for 51,66,44,386 is 1.

Thus, LCM of Fractions is 860808.Finally, LCM of Fractions for 26/51, 24/66, 31/44, 89/386 is 860808.