Least Common Multiple of 464/754, 7441/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/754, 7441/630 quickly i.e. 1726312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/754, 7441/630 is 1726312.

LCM(464/754, 7441/630) = 1726312

LCM of 464/754, 7441/630

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 464/754,7441/630

Given numbers are 464/754,7441/630

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 464,7441

Least Common Multiple of Numerators i.e. LCM of 464,7441 is 3452624.

GCF of Denominators means GCF of 754,630 as per the given fractions.

GCF of 754,630 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,7441

LCM of Fractions 464/754,7441/630 is 1726312

Given numbers has no common factors except 1. So, there LCM is their product i.e 3452624

Least Common Multiple of 464,7441 with GCF Formula

Least Common Multiple of 464,7441 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 464,7441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,7441) = 1

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

GCF(464,7441) x common factors =1 x 1 = 1

LCM(464,7441) = ( 464 × 7441 ) / 1

LCM(464,7441) = 3452624 / 1

LCM(464,7441) = 3452624


Lets's calculate GCF of 754,630

2 754, 630
377, 315

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3452624/2

Therefore the LCM of Fractions 464/754,7441/630 is 1726312

Greatest Common Factor of 754,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,630 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 754,630 . The biggest common factor number is the GCF number.
So the greatest common factor 754,630 is 2.


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 464/754, 7441/630

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 464/754, 7441/630?

Answer: LCM of Numerators as per given numbers 464/754, 7441/630 is

LCM of Numerators i.e. for 464,7441 is 3452624

GCF of denominators i.e. for 754,630 is 2.

Thus, LCM of Fractions is 1726312.Finally, LCM of Fractions for 464/754, 7441/630 is 1726312.