Least Common Multiple of 87/814, 48/898, 554/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/814, 48/898, 554/464 quickly i.e. 192792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/814, 48/898, 554/464 is 192792.

LCM(87/814, 48/898, 554/464) = 192792

LCM of 87/814, 48/898, 554/464

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 87/814,48/898,554/464

Given numbers are 87/814,48/898,554/464

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 87,48,554

Least Common Multiple of Numerators i.e. LCM of 87,48,554 is 385584.

GCF of Denominators means GCF of 814,898,464 as per the given fractions.

GCF of 814,898,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,48,554

LCM of Fractions 87/814,48/898,554/464 is 192792

2 87, 48, 554
3 87, 24, 277
29, 8, 277

∴ So the LCM of the given numbers is 2 x 3 x 29 x 8 x 277 = 385584

Least Common Multiple of 87,48,554 with GCF Formula

Least Common Multiple of 87,48,554 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 87,48,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,48,554) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,48,554) x common factors =1 x 6 = 6

LCM(87,48,554) = ( 87 × 48 × 554 ) / 6

LCM(87,48,554) = 2313504 / 6

LCM(87,48,554) = 385584


Lets's calculate GCF of 814,898,464

2 814, 898, 464
407, 449, 232

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385584/2

Therefore the LCM of Fractions 87/814,48/898,554/464 is 192792

Greatest Common Factor of 814,898,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,898,464 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

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

Greatest Common Factor

We found the factors 814,898,464 . The biggest common factor number is the GCF number.
So the greatest common factor 814,898,464 is 2.


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 87/814, 48/898, 554/464

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 87/814, 48/898, 554/464?

Answer: LCM of Numerators as per given numbers 87/814, 48/898, 554/464 is

LCM of Numerators i.e. for 87,48,554 is 385584

GCF of denominators i.e. for 814,898,464 is 2.

Thus, LCM of Fractions is 192792.Finally, LCM of Fractions for 87/814, 48/898, 554/464 is 192792.