Least Common Multiple of 9643/874, 8950/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9643/874, 8950/162 quickly i.e. 43152425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9643/874, 8950/162 is 43152425.

LCM(9643/874, 8950/162) = 43152425

LCM of 9643/874, 8950/162

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 9643/874,8950/162

Given numbers are 9643/874,8950/162

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 9643,8950

Least Common Multiple of Numerators i.e. LCM of 9643,8950 is 86304850.

GCF of Denominators means GCF of 874,162 as per the given fractions.

GCF of 874,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9643,8950

LCM of Fractions 9643/874,8950/162 is 43152425

Given numbers has no common factors except 1. So, there LCM is their product i.e 86304850

Least Common Multiple of 9643,8950 with GCF Formula

Least Common Multiple of 9643,8950 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 9643,8950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9643,8950) = 1

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

GCF(9643,8950) x common factors =1 x 1 = 1

LCM(9643,8950) = ( 9643 × 8950 ) / 1

LCM(9643,8950) = 86304850 / 1

LCM(9643,8950) = 86304850


Lets's calculate GCF of 874,162

2 874, 162
437, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86304850/2

Therefore the LCM of Fractions 9643/874,8950/162 is 43152425

Greatest Common Factor of 874,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,162 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 874,162 . The biggest common factor number is the GCF number.
So the greatest common factor 874,162 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9643/874, 8950/162

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 9643/874, 8950/162?

Answer: LCM of Numerators as per given numbers 9643/874, 8950/162 is

LCM of Numerators i.e. for 9643,8950 is 86304850

GCF of denominators i.e. for 874,162 is 2.

Thus, LCM of Fractions is 43152425.Finally, LCM of Fractions for 9643/874, 8950/162 is 43152425.