Least Common Multiple of 58/45, 861/14, 674/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/45, 861/14, 674/501 quickly i.e. 16829106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/45, 861/14, 674/501 is 16829106.

LCM(58/45, 861/14, 674/501) = 16829106

LCM of 58/45, 861/14, 674/501

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 58/45,861/14,674/501

Given numbers are 58/45,861/14,674/501

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 58,861,674

Least Common Multiple of Numerators i.e. LCM of 58,861,674 is 16829106.

GCF of Denominators means GCF of 45,14,501 as per the given fractions.

GCF of 45,14,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,861,674

LCM of Fractions 58/45,861/14,674/501 is 16829106

2 58, 861, 674
29, 861, 337

∴ So the LCM of the given numbers is 2 x 29 x 861 x 337 = 16829106

Least Common Multiple of 58,861,674 with GCF Formula

Least Common Multiple of 58,861,674 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 58,861,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,861,674) = 1

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

GCF(58,861,674) x common factors =1 x 2 = 2

LCM(58,861,674) = ( 58 × 861 × 674 ) / 2

LCM(58,861,674) = 33658212 / 2

LCM(58,861,674) = 16829106


Lets's calculate GCF of 45,14,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16829106/1

Therefore the LCM of Fractions 58/45,861/14,674/501 is 16829106

Greatest Common Factor of 45,14,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,14,501 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 45,14,501 . The biggest common factor number is the GCF number.
So the greatest common factor 45,14,501 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 58/45, 861/14, 674/501

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 58/45, 861/14, 674/501?

Answer: LCM of Numerators as per given numbers 58/45, 861/14, 674/501 is

LCM of Numerators i.e. for 58,861,674 is 16829106

GCF of denominators i.e. for 45,14,501 is 1.

Thus, LCM of Fractions is 16829106.Finally, LCM of Fractions for 58/45, 861/14, 674/501 is 16829106.