Least Common Multiple of 60/490, 759/176, 445/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/490, 759/176, 445/720 quickly i.e. 675510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/490, 759/176, 445/720 is 675510.

LCM(60/490, 759/176, 445/720) = 675510

LCM of 60/490, 759/176, 445/720

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 60/490,759/176,445/720

Given numbers are 60/490,759/176,445/720

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 60,759,445

Least Common Multiple of Numerators i.e. LCM of 60,759,445 is 1351020.

GCF of Denominators means GCF of 490,176,720 as per the given fractions.

GCF of 490,176,720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,759,445

LCM of Fractions 60/490,759/176,445/720 is 675510

3 60, 759, 445
5 20, 253, 445
4, 253, 89

∴ So the LCM of the given numbers is 3 x 5 x 4 x 253 x 89 = 1351020

Least Common Multiple of 60,759,445 with GCF Formula

Least Common Multiple of 60,759,445 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 60,759,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,759,445) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,759,445) x common factors =1 x 15 = 15

LCM(60,759,445) = ( 60 × 759 × 445 ) / 15

LCM(60,759,445) = 20265300 / 15

LCM(60,759,445) = 1351020


Lets's calculate GCF of 490,176,720

2 490, 176, 720
245, 88, 360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1351020/2

Therefore the LCM of Fractions 60/490,759/176,445/720 is 675510

Greatest Common Factor of 490,176,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,176,720 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 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 490,176,720 . The biggest common factor number is the GCF number.
So the greatest common factor 490,176,720 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 60/490, 759/176, 445/720

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 60/490, 759/176, 445/720?

Answer: LCM of Numerators as per given numbers 60/490, 759/176, 445/720 is

LCM of Numerators i.e. for 60,759,445 is 1351020

GCF of denominators i.e. for 490,176,720 is 2.

Thus, LCM of Fractions is 675510.Finally, LCM of Fractions for 60/490, 759/176, 445/720 is 675510.