Least Common Multiple of 46/453, 3007/7328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/453, 3007/7328 quickly i.e. 138322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/453, 3007/7328 is 138322.

LCM(46/453, 3007/7328) = 138322

LCM of 46/453, 3007/7328

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 46/453,3007/7328

Given numbers are 46/453,3007/7328

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 46,3007

Least Common Multiple of Numerators i.e. LCM of 46,3007 is 138322.

GCF of Denominators means GCF of 453,7328 as per the given fractions.

GCF of 453,7328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,3007

LCM of Fractions 46/453,3007/7328 is 138322

Given numbers has no common factors except 1. So, there LCM is their product i.e 138322

Least Common Multiple of 46,3007 with GCF Formula

Least Common Multiple of 46,3007 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 46,3007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,3007) = 1

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

GCF(46,3007) x common factors =1 x 1 = 1

LCM(46,3007) = ( 46 × 3007 ) / 1

LCM(46,3007) = 138322 / 1

LCM(46,3007) = 138322


Lets's calculate GCF of 453,7328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138322/1

Therefore the LCM of Fractions 46/453,3007/7328 is 138322

Greatest Common Factor of 453,7328 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,7328 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Greatest Common Factor

We found the factors 453,7328 . The biggest common factor number is the GCF number.
So the greatest common factor 453,7328 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 46/453, 3007/7328

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 46/453, 3007/7328?

Answer: LCM of Numerators as per given numbers 46/453, 3007/7328 is

LCM of Numerators i.e. for 46,3007 is 138322

GCF of denominators i.e. for 453,7328 is 1.

Thus, LCM of Fractions is 138322.Finally, LCM of Fractions for 46/453, 3007/7328 is 138322.