Least Common Multiple of 603/830, 9720/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 603/830, 9720/232 quickly i.e. 325620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 603/830, 9720/232 is 325620.

LCM(603/830, 9720/232) = 325620

LCM of 603/830, 9720/232

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 603/830,9720/232

Given numbers are 603/830,9720/232

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 603,9720

Least Common Multiple of Numerators i.e. LCM of 603,9720 is 651240.

GCF of Denominators means GCF of 830,232 as per the given fractions.

GCF of 830,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 603,9720

LCM of Fractions 603/830,9720/232 is 325620

3 603, 9720
3 201, 3240
67, 1080

∴ So the LCM of the given numbers is 3 x 3 x 67 x 1080 = 651240

Least Common Multiple of 603,9720 with GCF Formula

Least Common Multiple of 603,9720 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 603,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,9720) = 9

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

GCF(603,9720) x common factors =9 x 1 = 9

LCM(603,9720) = ( 603 × 9720 ) / 9

LCM(603,9720) = 5861160 / 9

LCM(603,9720) = 651240


Lets's calculate GCF of 830,232

2 830, 232
415, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651240/2

Therefore the LCM of Fractions 603/830,9720/232 is 325620

Greatest Common Factor of 830,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,232 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 830,232 . The biggest common factor number is the GCF number.
So the greatest common factor 830,232 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 603/830, 9720/232

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 603/830, 9720/232?

Answer: LCM of Numerators as per given numbers 603/830, 9720/232 is

LCM of Numerators i.e. for 603,9720 is 651240

GCF of denominators i.e. for 830,232 is 2.

Thus, LCM of Fractions is 325620.Finally, LCM of Fractions for 603/830, 9720/232 is 325620.