Least Common Multiple of 60/980, 7713/7034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/980, 7713/7034 quickly i.e. 77130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/980, 7713/7034 is 77130.

LCM(60/980, 7713/7034) = 77130

LCM of 60/980, 7713/7034

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 60/980,7713/7034

Given numbers are 60/980,7713/7034

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 60,7713

Least Common Multiple of Numerators i.e. LCM of 60,7713 is 154260.

GCF of Denominators means GCF of 980,7034 as per the given fractions.

GCF of 980,7034 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,7713

LCM of Fractions 60/980,7713/7034 is 77130

3 60, 7713
20, 2571

∴ So the LCM of the given numbers is 3 x 20 x 2571 = 154260

Least Common Multiple of 60,7713 with GCF Formula

Least Common Multiple of 60,7713 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 60,7713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7713) = 3

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

GCF(60,7713) x common factors =3 x 1 = 3

LCM(60,7713) = ( 60 × 7713 ) / 3

LCM(60,7713) = 462780 / 3

LCM(60,7713) = 154260


Lets's calculate GCF of 980,7034

2 980, 7034
490, 3517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154260/2

Therefore the LCM of Fractions 60/980,7713/7034 is 77130

Greatest Common Factor of 980,7034 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,7034 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1,2,3517,7034

Greatest Common Factor

We found the factors 980,7034 . The biggest common factor number is the GCF number.
So the greatest common factor 980,7034 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 60/980, 7713/7034

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 60/980, 7713/7034?

Answer: LCM of Numerators as per given numbers 60/980, 7713/7034 is

LCM of Numerators i.e. for 60,7713 is 154260

GCF of denominators i.e. for 980,7034 is 2.

Thus, LCM of Fractions is 77130.Finally, LCM of Fractions for 60/980, 7713/7034 is 77130.