Least Common Multiple of 670/490, 101/108, 269/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/490, 101/108, 269/444 quickly i.e. 9101615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/490, 101/108, 269/444 is 9101615.

LCM(670/490, 101/108, 269/444) = 9101615

LCM of 670/490, 101/108, 269/444

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 670/490,101/108,269/444

Given numbers are 670/490,101/108,269/444

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 670,101,269

Least Common Multiple of Numerators i.e. LCM of 670,101,269 is 18203230.

GCF of Denominators means GCF of 490,108,444 as per the given fractions.

GCF of 490,108,444 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,101,269

LCM of Fractions 670/490,101/108,269/444 is 9101615

Given numbers has no common factors except 1. So, there LCM is their product i.e 18203230

Least Common Multiple of 670,101,269 with GCF Formula

Least Common Multiple of 670,101,269 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 670,101,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,101,269) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(670,101,269) x common factors =1 x 1 = 1

LCM(670,101,269) = ( 670 × 101 × 269 ) / 1

LCM(670,101,269) = 18203230 / 1

LCM(670,101,269) = 18203230


Lets's calculate GCF of 490,108,444

2 490, 108, 444
245, 54, 222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18203230/2

Therefore the LCM of Fractions 670/490,101/108,269/444 is 9101615

Greatest Common Factor of 490,108,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,108,444 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 490,108,444 . The biggest common factor number is the GCF number.
So the greatest common factor 490,108,444 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 670/490, 101/108, 269/444

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 670/490, 101/108, 269/444?

Answer: LCM of Numerators as per given numbers 670/490, 101/108, 269/444 is

LCM of Numerators i.e. for 670,101,269 is 18203230

GCF of denominators i.e. for 490,108,444 is 2.

Thus, LCM of Fractions is 9101615.Finally, LCM of Fractions for 670/490, 101/108, 269/444 is 9101615.