Least Common Multiple of 554/46, 963/68, 648/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/46, 963/68, 648/478 quickly i.e. 9603036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/46, 963/68, 648/478 is 9603036.

LCM(554/46, 963/68, 648/478) = 9603036

LCM of 554/46, 963/68, 648/478

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 554/46,963/68,648/478

Given numbers are 554/46,963/68,648/478

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 554,963,648

Least Common Multiple of Numerators i.e. LCM of 554,963,648 is 19206072.

GCF of Denominators means GCF of 46,68,478 as per the given fractions.

GCF of 46,68,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,963,648

LCM of Fractions 554/46,963/68,648/478 is 9603036

2 554, 963, 648
3 277, 963, 324
3 277, 321, 108
277, 107, 36

∴ So the LCM of the given numbers is 2 x 3 x 3 x 277 x 107 x 36 = 19206072

Least Common Multiple of 554,963,648 with GCF Formula

Least Common Multiple of 554,963,648 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 554,963,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,963,648) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(554,963,648) x common factors =1 x 18 = 18

LCM(554,963,648) = ( 554 × 963 × 648 ) / 18

LCM(554,963,648) = 345709296 / 18

LCM(554,963,648) = 19206072


Lets's calculate GCF of 46,68,478

2 46, 68, 478
23, 34, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19206072/2

Therefore the LCM of Fractions 554/46,963/68,648/478 is 9603036

Greatest Common Factor of 46,68,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,68,478 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 68

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

1,2,4,17,34,68

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 46,68,478 . The biggest common factor number is the GCF number.
So the greatest common factor 46,68,478 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 554/46, 963/68, 648/478

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 554/46, 963/68, 648/478?

Answer: LCM of Numerators as per given numbers 554/46, 963/68, 648/478 is

LCM of Numerators i.e. for 554,963,648 is 19206072

GCF of denominators i.e. for 46,68,478 is 2.

Thus, LCM of Fractions is 9603036.Finally, LCM of Fractions for 554/46, 963/68, 648/478 is 9603036.