Least Common Multiple of 1517/472, 7399/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1517/472, 7399/430 quickly i.e. 11224283/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1517/472, 7399/430 is 11224283/2.

LCM(1517/472, 7399/430) = 11224283/2

LCM of 1517/472, 7399/430

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 1517/472,7399/430

Given numbers are 1517/472,7399/430

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 1517,7399

Least Common Multiple of Numerators i.e. LCM of 1517,7399 is 11224283.

GCF of Denominators means GCF of 472,430 as per the given fractions.

GCF of 472,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1517,7399

LCM of Fractions 1517/472,7399/430 is 11224283/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 11224283

Least Common Multiple of 1517,7399 with GCF Formula

Least Common Multiple of 1517,7399 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 1517,7399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1517,7399) = 1

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

GCF(1517,7399) x common factors =1 x 1 = 1

LCM(1517,7399) = ( 1517 × 7399 ) / 1

LCM(1517,7399) = 11224283 / 1

LCM(1517,7399) = 11224283


Lets's calculate GCF of 472,430

2 472, 430
236, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11224283/2

Therefore the LCM of Fractions 1517/472,7399/430 is 11224283/2

Greatest Common Factor of 472,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,430 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 472,430 . The biggest common factor number is the GCF number.
So the greatest common factor 472,430 is 2.


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 1517/472, 7399/430

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 1517/472, 7399/430?

Answer: LCM of Numerators as per given numbers 1517/472, 7399/430 is

LCM of Numerators i.e. for 1517,7399 is 11224283

GCF of denominators i.e. for 472,430 is 2.

Thus, LCM of Fractions is 11224283/2.Finally, LCM of Fractions for 1517/472, 7399/430 is 11224283/2.