Least Common Multiple of 55/24, 858/47, 767/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/24, 858/47, 767/909 quickly i.e. 253110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/24, 858/47, 767/909 is 253110.

LCM(55/24, 858/47, 767/909) = 253110

LCM of 55/24, 858/47, 767/909

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 55/24,858/47,767/909

Given numbers are 55/24,858/47,767/909

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 55,858,767

Least Common Multiple of Numerators i.e. LCM of 55,858,767 is 253110.

GCF of Denominators means GCF of 24,47,909 as per the given fractions.

GCF of 24,47,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,858,767

LCM of Fractions 55/24,858/47,767/909 is 253110

11 55, 858, 767
13 5, 78, 767
5, 6, 59

∴ So the LCM of the given numbers is 11 x 13 x 5 x 6 x 59 = 253110

Least Common Multiple of 55,858,767 with GCF Formula

Least Common Multiple of 55,858,767 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 55,858,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,858,767) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(55,858,767) x common factors =1 x 143 = 143

LCM(55,858,767) = ( 55 × 858 × 767 ) / 143

LCM(55,858,767) = 36194730 / 143

LCM(55,858,767) = 253110


Lets's calculate GCF of 24,47,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253110/1

Therefore the LCM of Fractions 55/24,858/47,767/909 is 253110

Greatest Common Factor of 24,47,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,47,909 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

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 24,47,909 . The biggest common factor number is the GCF number.
So the greatest common factor 24,47,909 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 55/24, 858/47, 767/909

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 55/24, 858/47, 767/909?

Answer: LCM of Numerators as per given numbers 55/24, 858/47, 767/909 is

LCM of Numerators i.e. for 55,858,767 is 253110

GCF of denominators i.e. for 24,47,909 is 1.

Thus, LCM of Fractions is 253110.Finally, LCM of Fractions for 55/24, 858/47, 767/909 is 253110.