Least Common Multiple of 6361/962, 2309/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6361/962, 2309/128 quickly i.e. 14687549/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6361/962, 2309/128 is 14687549/2.

LCM(6361/962, 2309/128) = 14687549/2

LCM of 6361/962, 2309/128

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 6361/962,2309/128

Given numbers are 6361/962,2309/128

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 6361,2309

Least Common Multiple of Numerators i.e. LCM of 6361,2309 is 14687549.

GCF of Denominators means GCF of 962,128 as per the given fractions.

GCF of 962,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6361,2309

LCM of Fractions 6361/962,2309/128 is 14687549/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 14687549

Least Common Multiple of 6361,2309 with GCF Formula

Least Common Multiple of 6361,2309 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 6361,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6361,2309) = 1

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

GCF(6361,2309) x common factors =1 x 1 = 1

LCM(6361,2309) = ( 6361 × 2309 ) / 1

LCM(6361,2309) = 14687549 / 1

LCM(6361,2309) = 14687549


Lets's calculate GCF of 962,128

2 962, 128
481, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14687549/2

Therefore the LCM of Fractions 6361/962,2309/128 is 14687549/2

Greatest Common Factor of 962,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,128 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 962,128 . The biggest common factor number is the GCF number.
So the greatest common factor 962,128 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6361/962, 2309/128

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 6361/962, 2309/128?

Answer: LCM of Numerators as per given numbers 6361/962, 2309/128 is

LCM of Numerators i.e. for 6361,2309 is 14687549

GCF of denominators i.e. for 962,128 is 2.

Thus, LCM of Fractions is 14687549/2.Finally, LCM of Fractions for 6361/962, 2309/128 is 14687549/2.