Least Common Multiple of 9512/463, 7076/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9512/463, 7076/356 quickly i.e. 580232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9512/463, 7076/356 is 580232.

LCM(9512/463, 7076/356) = 580232

LCM of 9512/463, 7076/356

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 9512/463,7076/356

Given numbers are 9512/463,7076/356

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 9512,7076

Least Common Multiple of Numerators i.e. LCM of 9512,7076 is 580232.

GCF of Denominators means GCF of 463,356 as per the given fractions.

GCF of 463,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9512,7076

LCM of Fractions 9512/463,7076/356 is 580232

2 9512, 7076
2 4756, 3538
29 2378, 1769
82, 61

∴ So the LCM of the given numbers is 2 x 2 x 29 x 82 x 61 = 580232

Least Common Multiple of 9512,7076 with GCF Formula

Least Common Multiple of 9512,7076 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 9512,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9512,7076) = 116

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

GCF(9512,7076) x common factors =116 x 1 = 116

LCM(9512,7076) = ( 9512 × 7076 ) / 116

LCM(9512,7076) = 67306912 / 116

LCM(9512,7076) = 580232


Lets's calculate GCF of 463,356

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580232/1

Therefore the LCM of Fractions 9512/463,7076/356 is 580232

Greatest Common Factor of 463,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,356 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 463,356 . The biggest common factor number is the GCF number.
So the greatest common factor 463,356 is 1.


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 9512/463, 7076/356

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 9512/463, 7076/356?

Answer: LCM of Numerators as per given numbers 9512/463, 7076/356 is

LCM of Numerators i.e. for 9512,7076 is 580232

GCF of denominators i.e. for 463,356 is 1.

Thus, LCM of Fractions is 580232.Finally, LCM of Fractions for 9512/463, 7076/356 is 580232.