Least Common Multiple of 873/454, 420/838, 660/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/454, 420/838, 660/437 quickly i.e. 1344420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/454, 420/838, 660/437 is 1344420.

LCM(873/454, 420/838, 660/437) = 1344420

LCM of 873/454, 420/838, 660/437

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 873/454,420/838,660/437

Given numbers are 873/454,420/838,660/437

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 873,420,660

Least Common Multiple of Numerators i.e. LCM of 873,420,660 is 1344420.

GCF of Denominators means GCF of 454,838,437 as per the given fractions.

GCF of 454,838,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,420,660

LCM of Fractions 873/454,420/838,660/437 is 1344420

2 873, 420, 660
2 873, 210, 330
3 873, 105, 165
5 291, 35, 55
291, 7, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 291 x 7 x 11 = 1344420

Least Common Multiple of 873,420,660 with GCF Formula

Least Common Multiple of 873,420,660 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 873,420,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,420,660) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(873,420,660) x common factors =3 x 60 = 180

LCM(873,420,660) = ( 873 × 420 × 660 ) / 180

LCM(873,420,660) = 241995600 / 180

LCM(873,420,660) = 1344420


Lets's calculate GCF of 454,838,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344420/1

Therefore the LCM of Fractions 873/454,420/838,660/437 is 1344420

Greatest Common Factor of 454,838,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,838,437 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 454,838,437 . The biggest common factor number is the GCF number.
So the greatest common factor 454,838,437 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 873/454, 420/838, 660/437

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 873/454, 420/838, 660/437?

Answer: LCM of Numerators as per given numbers 873/454, 420/838, 660/437 is

LCM of Numerators i.e. for 873,420,660 is 1344420

GCF of denominators i.e. for 454,838,437 is 1.

Thus, LCM of Fractions is 1344420.Finally, LCM of Fractions for 873/454, 420/838, 660/437 is 1344420.