Least Common Multiple of 71/45, 74/87, 58/68, 15/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/45, 74/87, 58/68, 15/972 quickly i.e. 2285490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/45, 74/87, 58/68, 15/972 is 2285490.

LCM(71/45, 74/87, 58/68, 15/972) = 2285490

LCM of 71/45, 74/87, 58/68, 15/972

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 71/45,74/87,58/68,15/972

Given numbers are 71/45,74/87,58/68,15/972

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 71,74,58,15

Least Common Multiple of Numerators i.e. LCM of 71,74,58,15 is 2285490.

GCF of Denominators means GCF of 45,87,68,972 as per the given fractions.

GCF of 45,87,68,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,74,58,15

LCM of Fractions 71/45,74/87,58/68,15/972 is 2285490

2 71, 74, 58, 15
71, 37, 29, 15

∴ So the LCM of the given numbers is 2 x 71 x 37 x 29 x 15 = 2285490

Least Common Multiple of 71,74,58,15 with GCF Formula

Least Common Multiple of 71,74,58,15 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 71,74,58,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,74,58,15) = 1

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

GCF(71,74,58,15) x common factors =1 x 2 = 2

LCM(71,74,58,15) = ( 71 × 74 × 58 × 15 ) / 2

LCM(71,74,58,15) = 4570980 / 2

LCM(71,74,58,15) = 2285490


Lets's calculate GCF of 45,87,68,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2285490/1

Therefore the LCM of Fractions 71/45,74/87,58/68,15/972 is 2285490

Greatest Common Factor of 45,87,68,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,87,68,972 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 45,87,68,972 . The biggest common factor number is the GCF number.
So the greatest common factor 45,87,68,972 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 71/45, 74/87, 58/68, 15/972

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 71/45, 74/87, 58/68, 15/972?

Answer: LCM of Numerators as per given numbers 71/45, 74/87, 58/68, 15/972 is

LCM of Numerators i.e. for 71,74,58,15 is 2285490

GCF of denominators i.e. for 45,87,68,972 is 1.

Thus, LCM of Fractions is 2285490.Finally, LCM of Fractions for 71/45, 74/87, 58/68, 15/972 is 2285490.