Least Common Multiple of 59/464, 681/93, 544/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/464, 681/93, 544/105 quickly i.e. 21857376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/464, 681/93, 544/105 is 21857376.

LCM(59/464, 681/93, 544/105) = 21857376

LCM of 59/464, 681/93, 544/105

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 59/464,681/93,544/105

Given numbers are 59/464,681/93,544/105

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 59,681,544

Least Common Multiple of Numerators i.e. LCM of 59,681,544 is 21857376.

GCF of Denominators means GCF of 464,93,105 as per the given fractions.

GCF of 464,93,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,681,544

LCM of Fractions 59/464,681/93,544/105 is 21857376

Given numbers has no common factors except 1. So, there LCM is their product i.e 21857376

Least Common Multiple of 59,681,544 with GCF Formula

Least Common Multiple of 59,681,544 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 59,681,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,681,544) = 1

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

GCF(59,681,544) x common factors =1 x 1 = 1

LCM(59,681,544) = ( 59 × 681 × 544 ) / 1

LCM(59,681,544) = 21857376 / 1

LCM(59,681,544) = 21857376


Lets's calculate GCF of 464,93,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21857376/1

Therefore the LCM of Fractions 59/464,681/93,544/105 is 21857376

Greatest Common Factor of 464,93,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,93,105 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 464,93,105 . The biggest common factor number is the GCF number.
So the greatest common factor 464,93,105 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 59/464, 681/93, 544/105

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 59/464, 681/93, 544/105?

Answer: LCM of Numerators as per given numbers 59/464, 681/93, 544/105 is

LCM of Numerators i.e. for 59,681,544 is 21857376

GCF of denominators i.e. for 464,93,105 is 1.

Thus, LCM of Fractions is 21857376.Finally, LCM of Fractions for 59/464, 681/93, 544/105 is 21857376.