Least Common Multiple of 1522/945, 1648/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1522/945, 1648/321 quickly i.e. 1254128/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1522/945, 1648/321 is 1254128/3.

LCM(1522/945, 1648/321) = 1254128/3

LCM of 1522/945, 1648/321

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 1522/945,1648/321

Given numbers are 1522/945,1648/321

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 1522,1648

Least Common Multiple of Numerators i.e. LCM of 1522,1648 is 1254128.

GCF of Denominators means GCF of 945,321 as per the given fractions.

GCF of 945,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1522,1648

LCM of Fractions 1522/945,1648/321 is 1254128/3

2 1522, 1648
761, 824

∴ So the LCM of the given numbers is 2 x 761 x 824 = 1254128

Least Common Multiple of 1522,1648 with GCF Formula

Least Common Multiple of 1522,1648 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 1522,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1522,1648) = 2

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

GCF(1522,1648) x common factors =2 x 1 = 2

LCM(1522,1648) = ( 1522 × 1648 ) / 2

LCM(1522,1648) = 2508256 / 2

LCM(1522,1648) = 1254128


Lets's calculate GCF of 945,321

3 945, 321
315, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254128/3

Therefore the LCM of Fractions 1522/945,1648/321 is 1254128/3

Greatest Common Factor of 945,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,321 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 945,321 . The biggest common factor number is the GCF number.
So the greatest common factor 945,321 is 3.


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 1522/945, 1648/321

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 1522/945, 1648/321?

Answer: LCM of Numerators as per given numbers 1522/945, 1648/321 is

LCM of Numerators i.e. for 1522,1648 is 1254128

GCF of denominators i.e. for 945,321 is 3.

Thus, LCM of Fractions is 1254128/3.Finally, LCM of Fractions for 1522/945, 1648/321 is 1254128/3.