Least Common Multiple of 324/430, 7396/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/430, 7396/620 quickly i.e. 599076/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/430, 7396/620 is 599076/10.

LCM(324/430, 7396/620) = 599076/10

LCM of 324/430, 7396/620

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 324/430,7396/620

Given numbers are 324/430,7396/620

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 324,7396

Least Common Multiple of Numerators i.e. LCM of 324,7396 is 599076.

GCF of Denominators means GCF of 430,620 as per the given fractions.

GCF of 430,620 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,7396

LCM of Fractions 324/430,7396/620 is 599076/10

2 324, 7396
2 162, 3698
81, 1849

∴ So the LCM of the given numbers is 2 x 2 x 81 x 1849 = 599076

Least Common Multiple of 324,7396 with GCF Formula

Least Common Multiple of 324,7396 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 324,7396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,7396) = 4

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

GCF(324,7396) x common factors =4 x 1 = 4

LCM(324,7396) = ( 324 × 7396 ) / 4

LCM(324,7396) = 2396304 / 4

LCM(324,7396) = 599076


Lets's calculate GCF of 430,620

2 430, 620
5 215, 310
43, 62

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599076/10

Therefore the LCM of Fractions 324/430,7396/620 is 599076/10

Greatest Common Factor of 430,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,620 By Matching Biggest Common Factor Method

Factors of 430

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

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

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 430,620 . The biggest common factor number is the GCF number.
So the greatest common factor 430,620 is 10.


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 324/430, 7396/620

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 324/430, 7396/620?

Answer: LCM of Numerators as per given numbers 324/430, 7396/620 is

LCM of Numerators i.e. for 324,7396 is 599076

GCF of denominators i.e. for 430,620 is 10.

Thus, LCM of Fractions is 599076/10.Finally, LCM of Fractions for 324/430, 7396/620 is 599076/10.