Least Common Multiple of 980/72, 713/1515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 980/72, 713/1515 quickly i.e. 698740/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/72, 713/1515 is 698740/3.

LCM(980/72, 713/1515) = 698740/3

LCM of 980/72, 713/1515

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 980/72,713/1515

Given numbers are 980/72,713/1515

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 980,713

Least Common Multiple of Numerators i.e. LCM of 980,713 is 698740.

GCF of Denominators means GCF of 72,1515 as per the given fractions.

GCF of 72,1515 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,713

LCM of Fractions 980/72,713/1515 is 698740/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 698740

Least Common Multiple of 980,713 with GCF Formula

Least Common Multiple of 980,713 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 980,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,713) = 1

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

GCF(980,713) x common factors =1 x 1 = 1

LCM(980,713) = ( 980 × 713 ) / 1

LCM(980,713) = 698740 / 1

LCM(980,713) = 698740


Lets's calculate GCF of 72,1515

3 72, 1515
24, 505

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 698740/3

Therefore the LCM of Fractions 980/72,713/1515 is 698740/3

Greatest Common Factor of 72,1515 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,1515 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 1515

List of positive integer factors of 1515 that divides 1515 without a remainder.

1,3,5,15,101,303,505,1515

Greatest Common Factor

We found the factors 72,1515 . The biggest common factor number is the GCF number.
So the greatest common factor 72,1515 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 980/72, 713/1515

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 980/72, 713/1515?

Answer: LCM of Numerators as per given numbers 980/72, 713/1515 is

LCM of Numerators i.e. for 980,713 is 698740

GCF of denominators i.e. for 72,1515 is 3.

Thus, LCM of Fractions is 698740/3.Finally, LCM of Fractions for 980/72, 713/1515 is 698740/3.