Least Common Multiple of 69/478, 8419/9258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/478, 8419/9258 quickly i.e. 580911/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/478, 8419/9258 is 580911/2.

LCM(69/478, 8419/9258) = 580911/2

LCM of 69/478, 8419/9258

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 69/478,8419/9258

Given numbers are 69/478,8419/9258

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 69,8419

Least Common Multiple of Numerators i.e. LCM of 69,8419 is 580911.

GCF of Denominators means GCF of 478,9258 as per the given fractions.

GCF of 478,9258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,8419

LCM of Fractions 69/478,8419/9258 is 580911/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 580911

Least Common Multiple of 69,8419 with GCF Formula

Least Common Multiple of 69,8419 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 69,8419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,8419) = 1

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

GCF(69,8419) x common factors =1 x 1 = 1

LCM(69,8419) = ( 69 × 8419 ) / 1

LCM(69,8419) = 580911 / 1

LCM(69,8419) = 580911


Lets's calculate GCF of 478,9258

2 478, 9258
239, 4629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580911/2

Therefore the LCM of Fractions 69/478,8419/9258 is 580911/2

Greatest Common Factor of 478,9258 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,9258 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1,2,3,6,1543,3086,4629,9258

Greatest Common Factor

We found the factors 478,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 478,9258 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 69/478, 8419/9258

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 69/478, 8419/9258?

Answer: LCM of Numerators as per given numbers 69/478, 8419/9258 is

LCM of Numerators i.e. for 69,8419 is 580911

GCF of denominators i.e. for 478,9258 is 2.

Thus, LCM of Fractions is 580911/2.Finally, LCM of Fractions for 69/478, 8419/9258 is 580911/2.