Least Common Multiple of 7966/355, 6423/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7966/355, 6423/561 quickly i.e. 51165618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7966/355, 6423/561 is 51165618.

LCM(7966/355, 6423/561) = 51165618

LCM of 7966/355, 6423/561

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 7966/355,6423/561

Given numbers are 7966/355,6423/561

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 7966,6423

Least Common Multiple of Numerators i.e. LCM of 7966,6423 is 51165618.

GCF of Denominators means GCF of 355,561 as per the given fractions.

GCF of 355,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7966,6423

LCM of Fractions 7966/355,6423/561 is 51165618

Given numbers has no common factors except 1. So, there LCM is their product i.e 51165618

Least Common Multiple of 7966,6423 with GCF Formula

Least Common Multiple of 7966,6423 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 7966,6423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7966,6423) = 1

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

GCF(7966,6423) x common factors =1 x 1 = 1

LCM(7966,6423) = ( 7966 × 6423 ) / 1

LCM(7966,6423) = 51165618 / 1

LCM(7966,6423) = 51165618


Lets's calculate GCF of 355,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51165618/1

Therefore the LCM of Fractions 7966/355,6423/561 is 51165618

Greatest Common Factor of 355,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,561 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 355,561 . The biggest common factor number is the GCF number.
So the greatest common factor 355,561 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7966/355, 6423/561

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 7966/355, 6423/561?

Answer: LCM of Numerators as per given numbers 7966/355, 6423/561 is

LCM of Numerators i.e. for 7966,6423 is 51165618

GCF of denominators i.e. for 355,561 is 1.

Thus, LCM of Fractions is 51165618.Finally, LCM of Fractions for 7966/355, 6423/561 is 51165618.