Least Common Multiple of 3012/925, 9526/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3012/925, 9526/344 quickly i.e. 14346156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3012/925, 9526/344 is 14346156.

LCM(3012/925, 9526/344) = 14346156

LCM of 3012/925, 9526/344

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 3012/925,9526/344

Given numbers are 3012/925,9526/344

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 3012,9526

Least Common Multiple of Numerators i.e. LCM of 3012,9526 is 14346156.

GCF of Denominators means GCF of 925,344 as per the given fractions.

GCF of 925,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3012,9526

LCM of Fractions 3012/925,9526/344 is 14346156

2 3012, 9526
1506, 4763

∴ So the LCM of the given numbers is 2 x 1506 x 4763 = 14346156

Least Common Multiple of 3012,9526 with GCF Formula

Least Common Multiple of 3012,9526 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 3012,9526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3012,9526) = 2

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

GCF(3012,9526) x common factors =2 x 1 = 2

LCM(3012,9526) = ( 3012 × 9526 ) / 2

LCM(3012,9526) = 28692312 / 2

LCM(3012,9526) = 14346156


Lets's calculate GCF of 925,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14346156/1

Therefore the LCM of Fractions 3012/925,9526/344 is 14346156

Greatest Common Factor of 925,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,344 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 925,344 . The biggest common factor number is the GCF number.
So the greatest common factor 925,344 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 3012/925, 9526/344

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 3012/925, 9526/344?

Answer: LCM of Numerators as per given numbers 3012/925, 9526/344 is

LCM of Numerators i.e. for 3012,9526 is 14346156

GCF of denominators i.e. for 925,344 is 1.

Thus, LCM of Fractions is 14346156.Finally, LCM of Fractions for 3012/925, 9526/344 is 14346156.