Least Common Multiple of 505/264, 907/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/264, 907/340 quickly i.e. 458035/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/264, 907/340 is 458035/4.

LCM(505/264, 907/340) = 458035/4

LCM of 505/264, 907/340

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 505/264,907/340

Given numbers are 505/264,907/340

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 505,907

Least Common Multiple of Numerators i.e. LCM of 505,907 is 458035.

GCF of Denominators means GCF of 264,340 as per the given fractions.

GCF of 264,340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,907

LCM of Fractions 505/264,907/340 is 458035/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 458035

Least Common Multiple of 505,907 with GCF Formula

Least Common Multiple of 505,907 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 505,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,907) = 1

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

GCF(505,907) x common factors =1 x 1 = 1

LCM(505,907) = ( 505 × 907 ) / 1

LCM(505,907) = 458035 / 1

LCM(505,907) = 458035


Lets's calculate GCF of 264,340

2 264, 340
2 132, 170
66, 85

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458035/4

Therefore the LCM of Fractions 505/264,907/340 is 458035/4

Greatest Common Factor of 264,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,340 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 264,340 . The biggest common factor number is the GCF number.
So the greatest common factor 264,340 is 4.


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 505/264, 907/340

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 505/264, 907/340?

Answer: LCM of Numerators as per given numbers 505/264, 907/340 is

LCM of Numerators i.e. for 505,907 is 458035

GCF of denominators i.e. for 264,340 is 4.

Thus, LCM of Fractions is 458035/4.Finally, LCM of Fractions for 505/264, 907/340 is 458035/4.