Least Common Multiple of 8034/130, 7462/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8034/130, 7462/248 quickly i.e. 1152879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8034/130, 7462/248 is 1152879.

LCM(8034/130, 7462/248) = 1152879

LCM of 8034/130, 7462/248

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 8034/130,7462/248

Given numbers are 8034/130,7462/248

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 8034,7462

Least Common Multiple of Numerators i.e. LCM of 8034,7462 is 2305758.

GCF of Denominators means GCF of 130,248 as per the given fractions.

GCF of 130,248 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8034,7462

LCM of Fractions 8034/130,7462/248 is 1152879

2 8034, 7462
13 4017, 3731
309, 287

∴ So the LCM of the given numbers is 2 x 13 x 309 x 287 = 2305758

Least Common Multiple of 8034,7462 with GCF Formula

Least Common Multiple of 8034,7462 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 8034,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8034,7462) = 26

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

GCF(8034,7462) x common factors =26 x 1 = 26

LCM(8034,7462) = ( 8034 × 7462 ) / 26

LCM(8034,7462) = 59949708 / 26

LCM(8034,7462) = 2305758


Lets's calculate GCF of 130,248

2 130, 248
65, 124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2305758/2

Therefore the LCM of Fractions 8034/130,7462/248 is 1152879

Greatest Common Factor of 130,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,248 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 130,248 . The biggest common factor number is the GCF number.
So the greatest common factor 130,248 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 8034/130, 7462/248

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 8034/130, 7462/248?

Answer: LCM of Numerators as per given numbers 8034/130, 7462/248 is

LCM of Numerators i.e. for 8034,7462 is 2305758

GCF of denominators i.e. for 130,248 is 2.

Thus, LCM of Fractions is 1152879.Finally, LCM of Fractions for 8034/130, 7462/248 is 1152879.