Least Common Multiple of 290/13, 875/24, 345/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/13, 875/24, 345/514 quickly i.e. 3501750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/13, 875/24, 345/514 is 3501750.

LCM(290/13, 875/24, 345/514) = 3501750

LCM of 290/13, 875/24, 345/514

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 290/13,875/24,345/514

Given numbers are 290/13,875/24,345/514

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 290,875,345

Least Common Multiple of Numerators i.e. LCM of 290,875,345 is 3501750.

GCF of Denominators means GCF of 13,24,514 as per the given fractions.

GCF of 13,24,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,875,345

LCM of Fractions 290/13,875/24,345/514 is 3501750

5 290, 875, 345
58, 175, 69

∴ So the LCM of the given numbers is 5 x 58 x 175 x 69 = 3501750

Least Common Multiple of 290,875,345 with GCF Formula

Least Common Multiple of 290,875,345 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 290,875,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,875,345) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(290,875,345) x common factors =5 x 5 = 25

LCM(290,875,345) = ( 290 × 875 × 345 ) / 25

LCM(290,875,345) = 87543750 / 25

LCM(290,875,345) = 3501750


Lets's calculate GCF of 13,24,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3501750/1

Therefore the LCM of Fractions 290/13,875/24,345/514 is 3501750

Greatest Common Factor of 13,24,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,24,514 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 13,24,514 . The biggest common factor number is the GCF number.
So the greatest common factor 13,24,514 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 290/13, 875/24, 345/514

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 290/13, 875/24, 345/514?

Answer: LCM of Numerators as per given numbers 290/13, 875/24, 345/514 is

LCM of Numerators i.e. for 290,875,345 is 3501750

GCF of denominators i.e. for 13,24,514 is 1.

Thus, LCM of Fractions is 3501750.Finally, LCM of Fractions for 290/13, 875/24, 345/514 is 3501750.