Least Common Multiple of 264/623, 741/788, 627/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/623, 741/788, 627/693 quickly i.e. 65208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/623, 741/788, 627/693 is 65208.

LCM(264/623, 741/788, 627/693) = 65208

LCM of 264/623, 741/788, 627/693

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 264/623,741/788,627/693

Given numbers are 264/623,741/788,627/693

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 264,741,627

Least Common Multiple of Numerators i.e. LCM of 264,741,627 is 65208.

GCF of Denominators means GCF of 623,788,693 as per the given fractions.

GCF of 623,788,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,741,627

LCM of Fractions 264/623,741/788,627/693 is 65208

3 264, 741, 627
11 88, 247, 209
19 8, 247, 19
8, 13, 1

∴ So the LCM of the given numbers is 3 x 11 x 19 x 8 x 13 x 1 = 65208

Least Common Multiple of 264,741,627 with GCF Formula

Least Common Multiple of 264,741,627 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 264,741,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,741,627) = 3

common factors(in case of two or more numbers have common factors) = 627

GCF(264,741,627) x common factors =3 x 627 = 1881

LCM(264,741,627) = ( 264 × 741 × 627 ) / 1881

LCM(264,741,627) = 122656248 / 1881

LCM(264,741,627) = 65208


Lets's calculate GCF of 623,788,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65208/1

Therefore the LCM of Fractions 264/623,741/788,627/693 is 65208

Greatest Common Factor of 623,788,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,788,693 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 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 623,788,693 . The biggest common factor number is the GCF number.
So the greatest common factor 623,788,693 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 264/623, 741/788, 627/693

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 264/623, 741/788, 627/693?

Answer: LCM of Numerators as per given numbers 264/623, 741/788, 627/693 is

LCM of Numerators i.e. for 264,741,627 is 65208

GCF of denominators i.e. for 623,788,693 is 1.

Thus, LCM of Fractions is 65208.Finally, LCM of Fractions for 264/623, 741/788, 627/693 is 65208.