Least Common Multiple of 490/555, 478/206, 278/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/555, 478/206, 278/995 quickly i.e. 16278290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/555, 478/206, 278/995 is 16278290.

LCM(490/555, 478/206, 278/995) = 16278290

LCM of 490/555, 478/206, 278/995

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 490/555,478/206,278/995

Given numbers are 490/555,478/206,278/995

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 490,478,278

Least Common Multiple of Numerators i.e. LCM of 490,478,278 is 16278290.

GCF of Denominators means GCF of 555,206,995 as per the given fractions.

GCF of 555,206,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,478,278

LCM of Fractions 490/555,478/206,278/995 is 16278290

2 490, 478, 278
245, 239, 139

∴ So the LCM of the given numbers is 2 x 245 x 239 x 139 = 16278290

Least Common Multiple of 490,478,278 with GCF Formula

Least Common Multiple of 490,478,278 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 490,478,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,478,278) = 2

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

GCF(490,478,278) x common factors =2 x 2 = 4

LCM(490,478,278) = ( 490 × 478 × 278 ) / 4

LCM(490,478,278) = 65113160 / 4

LCM(490,478,278) = 16278290


Lets's calculate GCF of 555,206,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16278290/1

Therefore the LCM of Fractions 490/555,478/206,278/995 is 16278290

Greatest Common Factor of 555,206,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,206,995 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 555,206,995 . The biggest common factor number is the GCF number.
So the greatest common factor 555,206,995 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 490/555, 478/206, 278/995

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 490/555, 478/206, 278/995?

Answer: LCM of Numerators as per given numbers 490/555, 478/206, 278/995 is

LCM of Numerators i.e. for 490,478,278 is 16278290

GCF of denominators i.e. for 555,206,995 is 1.

Thus, LCM of Fractions is 16278290.Finally, LCM of Fractions for 490/555, 478/206, 278/995 is 16278290.