Least Common Multiple of 9643/145, 9490/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9643/145, 9490/408 quickly i.e. 91512070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9643/145, 9490/408 is 91512070.

LCM(9643/145, 9490/408) = 91512070

LCM of 9643/145, 9490/408

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 9643/145,9490/408

Given numbers are 9643/145,9490/408

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 9643,9490

Least Common Multiple of Numerators i.e. LCM of 9643,9490 is 91512070.

GCF of Denominators means GCF of 145,408 as per the given fractions.

GCF of 145,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9643,9490

LCM of Fractions 9643/145,9490/408 is 91512070

Given numbers has no common factors except 1. So, there LCM is their product i.e 91512070

Least Common Multiple of 9643,9490 with GCF Formula

Least Common Multiple of 9643,9490 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 9643,9490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9643,9490) = 1

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

GCF(9643,9490) x common factors =1 x 1 = 1

LCM(9643,9490) = ( 9643 × 9490 ) / 1

LCM(9643,9490) = 91512070 / 1

LCM(9643,9490) = 91512070


Lets's calculate GCF of 145,408

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91512070/1

Therefore the LCM of Fractions 9643/145,9490/408 is 91512070

Greatest Common Factor of 145,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,408 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 145,408 . The biggest common factor number is the GCF number.
So the greatest common factor 145,408 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9643/145, 9490/408

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 9643/145, 9490/408?

Answer: LCM of Numerators as per given numbers 9643/145, 9490/408 is

LCM of Numerators i.e. for 9643,9490 is 91512070

GCF of denominators i.e. for 145,408 is 1.

Thus, LCM of Fractions is 91512070.Finally, LCM of Fractions for 9643/145, 9490/408 is 91512070.