Least Common Multiple of 345/52, 509/2548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/52, 509/2548 quickly i.e. 175605/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/52, 509/2548 is 175605/52.

LCM(345/52, 509/2548) = 175605/52

LCM of 345/52, 509/2548

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 345/52,509/2548

Given numbers are 345/52,509/2548

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 345,509

Least Common Multiple of Numerators i.e. LCM of 345,509 is 175605.

GCF of Denominators means GCF of 52,2548 as per the given fractions.

GCF of 52,2548 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,509

LCM of Fractions 345/52,509/2548 is 175605/52

Given numbers has no common factors except 1. So, there LCM is their product i.e 175605

Least Common Multiple of 345,509 with GCF Formula

Least Common Multiple of 345,509 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 345,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,509) = 1

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

GCF(345,509) x common factors =1 x 1 = 1

LCM(345,509) = ( 345 × 509 ) / 1

LCM(345,509) = 175605 / 1

LCM(345,509) = 175605


Lets's calculate GCF of 52,2548

2 52, 2548
2 26, 1274
13 13, 637
1, 49

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175605/52

Therefore the LCM of Fractions 345/52,509/2548 is 175605/52

Greatest Common Factor of 52,2548 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,2548 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Greatest Common Factor

We found the factors 52,2548 . The biggest common factor number is the GCF number.
So the greatest common factor 52,2548 is 52.


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 345/52, 509/2548

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 345/52, 509/2548?

Answer: LCM of Numerators as per given numbers 345/52, 509/2548 is

LCM of Numerators i.e. for 345,509 is 175605

GCF of denominators i.e. for 52,2548 is 52.

Thus, LCM of Fractions is 175605/52.Finally, LCM of Fractions for 345/52, 509/2548 is 175605/52.