Least Common Multiple of 587/662, 134/718, 180/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/662, 134/718, 180/457 quickly i.e. 7079220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/662, 134/718, 180/457 is 7079220.

LCM(587/662, 134/718, 180/457) = 7079220

LCM of 587/662, 134/718, 180/457

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 587/662,134/718,180/457

Given numbers are 587/662,134/718,180/457

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 587,134,180

Least Common Multiple of Numerators i.e. LCM of 587,134,180 is 7079220.

GCF of Denominators means GCF of 662,718,457 as per the given fractions.

GCF of 662,718,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,134,180

LCM of Fractions 587/662,134/718,180/457 is 7079220

2 587, 134, 180
587, 67, 90

∴ So the LCM of the given numbers is 2 x 587 x 67 x 90 = 7079220

Least Common Multiple of 587,134,180 with GCF Formula

Least Common Multiple of 587,134,180 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 587,134,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,134,180) = 1

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

GCF(587,134,180) x common factors =1 x 2 = 2

LCM(587,134,180) = ( 587 × 134 × 180 ) / 2

LCM(587,134,180) = 14158440 / 2

LCM(587,134,180) = 7079220


Lets's calculate GCF of 662,718,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7079220/1

Therefore the LCM of Fractions 587/662,134/718,180/457 is 7079220

Greatest Common Factor of 662,718,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,718,457 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 662,718,457 . The biggest common factor number is the GCF number.
So the greatest common factor 662,718,457 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 587/662, 134/718, 180/457

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 587/662, 134/718, 180/457?

Answer: LCM of Numerators as per given numbers 587/662, 134/718, 180/457 is

LCM of Numerators i.e. for 587,134,180 is 7079220

GCF of denominators i.e. for 662,718,457 is 1.

Thus, LCM of Fractions is 7079220.Finally, LCM of Fractions for 587/662, 134/718, 180/457 is 7079220.