Least Common Multiple of 846/574, 9603/9424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 846/574, 9603/9424 quickly i.e. 451341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/574, 9603/9424 is 451341.

LCM(846/574, 9603/9424) = 451341

LCM of 846/574, 9603/9424

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 846/574,9603/9424

Given numbers are 846/574,9603/9424

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 846,9603

Least Common Multiple of Numerators i.e. LCM of 846,9603 is 902682.

GCF of Denominators means GCF of 574,9424 as per the given fractions.

GCF of 574,9424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,9603

LCM of Fractions 846/574,9603/9424 is 451341

3 846, 9603
3 282, 3201
94, 1067

∴ So the LCM of the given numbers is 3 x 3 x 94 x 1067 = 902682

Least Common Multiple of 846,9603 with GCF Formula

Least Common Multiple of 846,9603 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 846,9603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,9603) = 9

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

GCF(846,9603) x common factors =9 x 1 = 9

LCM(846,9603) = ( 846 × 9603 ) / 9

LCM(846,9603) = 8124138 / 9

LCM(846,9603) = 902682


Lets's calculate GCF of 574,9424

2 574, 9424
287, 4712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 902682/2

Therefore the LCM of Fractions 846/574,9603/9424 is 451341

Greatest Common Factor of 574,9424 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,9424 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

Greatest Common Factor

We found the factors 574,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 574,9424 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 846/574, 9603/9424

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 846/574, 9603/9424?

Answer: LCM of Numerators as per given numbers 846/574, 9603/9424 is

LCM of Numerators i.e. for 846,9603 is 902682

GCF of denominators i.e. for 574,9424 is 2.

Thus, LCM of Fractions is 451341.Finally, LCM of Fractions for 846/574, 9603/9424 is 451341.