Least Common Multiple of 1582/114, 7248/7476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1582/114, 7248/7476 quickly i.e. 955528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1582/114, 7248/7476 is 955528.

LCM(1582/114, 7248/7476) = 955528

LCM of 1582/114, 7248/7476

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 1582/114,7248/7476

Given numbers are 1582/114,7248/7476

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 1582,7248

Least Common Multiple of Numerators i.e. LCM of 1582,7248 is 5733168.

GCF of Denominators means GCF of 114,7476 as per the given fractions.

GCF of 114,7476 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1582,7248

LCM of Fractions 1582/114,7248/7476 is 955528

2 1582, 7248
791, 3624

∴ So the LCM of the given numbers is 2 x 791 x 3624 = 5733168

Least Common Multiple of 1582,7248 with GCF Formula

Least Common Multiple of 1582,7248 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 1582,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1582,7248) = 2

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

GCF(1582,7248) x common factors =2 x 1 = 2

LCM(1582,7248) = ( 1582 × 7248 ) / 2

LCM(1582,7248) = 11466336 / 2

LCM(1582,7248) = 5733168


Lets's calculate GCF of 114,7476

2 114, 7476
3 57, 3738
19, 1246

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5733168/6

Therefore the LCM of Fractions 1582/114,7248/7476 is 955528

Greatest Common Factor of 114,7476 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,7476 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Greatest Common Factor

We found the factors 114,7476 . The biggest common factor number is the GCF number.
So the greatest common factor 114,7476 is 6.


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 1582/114, 7248/7476

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 1582/114, 7248/7476?

Answer: LCM of Numerators as per given numbers 1582/114, 7248/7476 is

LCM of Numerators i.e. for 1582,7248 is 5733168

GCF of denominators i.e. for 114,7476 is 6.

Thus, LCM of Fractions is 955528.Finally, LCM of Fractions for 1582/114, 7248/7476 is 955528.