Least Common Multiple of 351/623, 281/326, 730/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/623, 281/326, 730/507 quickly i.e. 72000630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/623, 281/326, 730/507 is 72000630.

LCM(351/623, 281/326, 730/507) = 72000630

LCM of 351/623, 281/326, 730/507

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 351/623,281/326,730/507

Given numbers are 351/623,281/326,730/507

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 351,281,730

Least Common Multiple of Numerators i.e. LCM of 351,281,730 is 72000630.

GCF of Denominators means GCF of 623,326,507 as per the given fractions.

GCF of 623,326,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,281,730

LCM of Fractions 351/623,281/326,730/507 is 72000630

Given numbers has no common factors except 1. So, there LCM is their product i.e 72000630

Least Common Multiple of 351,281,730 with GCF Formula

Least Common Multiple of 351,281,730 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 351,281,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,281,730) = 1

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

GCF(351,281,730) x common factors =1 x 1 = 1

LCM(351,281,730) = ( 351 × 281 × 730 ) / 1

LCM(351,281,730) = 72000630 / 1

LCM(351,281,730) = 72000630


Lets's calculate GCF of 623,326,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72000630/1

Therefore the LCM of Fractions 351/623,281/326,730/507 is 72000630

Greatest Common Factor of 623,326,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,326,507 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 623,326,507 . The biggest common factor number is the GCF number.
So the greatest common factor 623,326,507 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 351/623, 281/326, 730/507

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 351/623, 281/326, 730/507?

Answer: LCM of Numerators as per given numbers 351/623, 281/326, 730/507 is

LCM of Numerators i.e. for 351,281,730 is 72000630

GCF of denominators i.e. for 623,326,507 is 1.

Thus, LCM of Fractions is 72000630.Finally, LCM of Fractions for 351/623, 281/326, 730/507 is 72000630.