Least Common Multiple of 9952/162, 9979/3286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9952/162, 9979/3286 quickly i.e. 49655504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9952/162, 9979/3286 is 49655504.

LCM(9952/162, 9979/3286) = 49655504

LCM of 9952/162, 9979/3286

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 9952/162,9979/3286

Given numbers are 9952/162,9979/3286

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 9952,9979

Least Common Multiple of Numerators i.e. LCM of 9952,9979 is 99311008.

GCF of Denominators means GCF of 162,3286 as per the given fractions.

GCF of 162,3286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9952,9979

LCM of Fractions 9952/162,9979/3286 is 49655504

Given numbers has no common factors except 1. So, there LCM is their product i.e 99311008

Least Common Multiple of 9952,9979 with GCF Formula

Least Common Multiple of 9952,9979 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 9952,9979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9952,9979) = 1

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

GCF(9952,9979) x common factors =1 x 1 = 1

LCM(9952,9979) = ( 9952 × 9979 ) / 1

LCM(9952,9979) = 99311008 / 1

LCM(9952,9979) = 99311008


Lets's calculate GCF of 162,3286

2 162, 3286
81, 1643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99311008/2

Therefore the LCM of Fractions 9952/162,9979/3286 is 49655504

Greatest Common Factor of 162,3286 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,3286 By Matching Biggest Common Factor Method

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

Factors of 3286

List of positive integer factors of 3286 that divides 3286 without a remainder.

1,2,31,53,62,106,1643,3286

Greatest Common Factor

We found the factors 162,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 162,3286 is 2.


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Frequently Asked Questions on Fractional LCM of 9952/162, 9979/3286

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 9952/162, 9979/3286?

Answer: LCM of Numerators as per given numbers 9952/162, 9979/3286 is

LCM of Numerators i.e. for 9952,9979 is 99311008

GCF of denominators i.e. for 162,3286 is 2.

Thus, LCM of Fractions is 49655504.Finally, LCM of Fractions for 9952/162, 9979/3286 is 49655504.