Least Common Multiple of 67/556, 477/350, 648/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/556, 477/350, 648/488 quickly i.e. 1150524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/556, 477/350, 648/488 is 1150524.

LCM(67/556, 477/350, 648/488) = 1150524

LCM of 67/556, 477/350, 648/488

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 67/556,477/350,648/488

Given numbers are 67/556,477/350,648/488

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 67,477,648

Least Common Multiple of Numerators i.e. LCM of 67,477,648 is 2301048.

GCF of Denominators means GCF of 556,350,488 as per the given fractions.

GCF of 556,350,488 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,477,648

LCM of Fractions 67/556,477/350,648/488 is 1150524

3 67, 477, 648
3 67, 159, 216
67, 53, 72

∴ So the LCM of the given numbers is 3 x 3 x 67 x 53 x 72 = 2301048

Least Common Multiple of 67,477,648 with GCF Formula

Least Common Multiple of 67,477,648 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 67,477,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,477,648) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(67,477,648) x common factors =1 x 9 = 9

LCM(67,477,648) = ( 67 × 477 × 648 ) / 9

LCM(67,477,648) = 20709432 / 9

LCM(67,477,648) = 2301048


Lets's calculate GCF of 556,350,488

2 556, 350, 488
278, 175, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2301048/2

Therefore the LCM of Fractions 67/556,477/350,648/488 is 1150524

Greatest Common Factor of 556,350,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,350,488 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 556,350,488 . The biggest common factor number is the GCF number.
So the greatest common factor 556,350,488 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 67/556, 477/350, 648/488

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 67/556, 477/350, 648/488?

Answer: LCM of Numerators as per given numbers 67/556, 477/350, 648/488 is

LCM of Numerators i.e. for 67,477,648 is 2301048

GCF of denominators i.e. for 556,350,488 is 2.

Thus, LCM of Fractions is 1150524.Finally, LCM of Fractions for 67/556, 477/350, 648/488 is 1150524.