Least Common Multiple of 8515/958, 9740/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8515/958, 9740/608 quickly i.e. 8293610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8515/958, 9740/608 is 8293610.

LCM(8515/958, 9740/608) = 8293610

LCM of 8515/958, 9740/608

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 8515/958,9740/608

Given numbers are 8515/958,9740/608

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 8515,9740

Least Common Multiple of Numerators i.e. LCM of 8515,9740 is 16587220.

GCF of Denominators means GCF of 958,608 as per the given fractions.

GCF of 958,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8515,9740

LCM of Fractions 8515/958,9740/608 is 8293610

5 8515, 9740
1703, 1948

∴ So the LCM of the given numbers is 5 x 1703 x 1948 = 16587220

Least Common Multiple of 8515,9740 with GCF Formula

Least Common Multiple of 8515,9740 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 8515,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8515,9740) = 5

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

GCF(8515,9740) x common factors =5 x 1 = 5

LCM(8515,9740) = ( 8515 × 9740 ) / 5

LCM(8515,9740) = 82936100 / 5

LCM(8515,9740) = 16587220


Lets's calculate GCF of 958,608

2 958, 608
479, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16587220/2

Therefore the LCM of Fractions 8515/958,9740/608 is 8293610

Greatest Common Factor of 958,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,608 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 958,608 . The biggest common factor number is the GCF number.
So the greatest common factor 958,608 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 8515/958, 9740/608

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 8515/958, 9740/608?

Answer: LCM of Numerators as per given numbers 8515/958, 9740/608 is

LCM of Numerators i.e. for 8515,9740 is 16587220

GCF of denominators i.e. for 958,608 is 2.

Thus, LCM of Fractions is 8293610.Finally, LCM of Fractions for 8515/958, 9740/608 is 8293610.