Least Common Multiple of 307/40, 310/62, 415/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/40, 310/62, 415/598 quickly i.e. 3949555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/40, 310/62, 415/598 is 3949555.

LCM(307/40, 310/62, 415/598) = 3949555

LCM of 307/40, 310/62, 415/598

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 307/40,310/62,415/598

Given numbers are 307/40,310/62,415/598

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 307,310,415

Least Common Multiple of Numerators i.e. LCM of 307,310,415 is 7899110.

GCF of Denominators means GCF of 40,62,598 as per the given fractions.

GCF of 40,62,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,310,415

LCM of Fractions 307/40,310/62,415/598 is 3949555

5 307, 310, 415
307, 62, 83

∴ So the LCM of the given numbers is 5 x 307 x 62 x 83 = 7899110

Least Common Multiple of 307,310,415 with GCF Formula

Least Common Multiple of 307,310,415 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 307,310,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,310,415) = 1

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

GCF(307,310,415) x common factors =1 x 5 = 5

LCM(307,310,415) = ( 307 × 310 × 415 ) / 5

LCM(307,310,415) = 39495550 / 5

LCM(307,310,415) = 7899110


Lets's calculate GCF of 40,62,598

2 40, 62, 598
20, 31, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7899110/2

Therefore the LCM of Fractions 307/40,310/62,415/598 is 3949555

Greatest Common Factor of 40,62,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,62,598 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 40,62,598 . The biggest common factor number is the GCF number.
So the greatest common factor 40,62,598 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 307/40, 310/62, 415/598

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 307/40, 310/62, 415/598?

Answer: LCM of Numerators as per given numbers 307/40, 310/62, 415/598 is

LCM of Numerators i.e. for 307,310,415 is 7899110

GCF of denominators i.e. for 40,62,598 is 2.

Thus, LCM of Fractions is 3949555.Finally, LCM of Fractions for 307/40, 310/62, 415/598 is 3949555.