Least Common Multiple of 946/51, 9667/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/51, 9667/982 quickly i.e. 9144982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/51, 9667/982 is 9144982.

LCM(946/51, 9667/982) = 9144982

LCM of 946/51, 9667/982

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 946/51,9667/982

Given numbers are 946/51,9667/982

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 946,9667

Least Common Multiple of Numerators i.e. LCM of 946,9667 is 9144982.

GCF of Denominators means GCF of 51,982 as per the given fractions.

GCF of 51,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,9667

LCM of Fractions 946/51,9667/982 is 9144982

Given numbers has no common factors except 1. So, there LCM is their product i.e 9144982

Least Common Multiple of 946,9667 with GCF Formula

Least Common Multiple of 946,9667 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 946,9667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,9667) = 1

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

GCF(946,9667) x common factors =1 x 1 = 1

LCM(946,9667) = ( 946 × 9667 ) / 1

LCM(946,9667) = 9144982 / 1

LCM(946,9667) = 9144982


Lets's calculate GCF of 51,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9144982/1

Therefore the LCM of Fractions 946/51,9667/982 is 9144982

Greatest Common Factor of 51,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,982 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 51,982 . The biggest common factor number is the GCF number.
So the greatest common factor 51,982 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 946/51, 9667/982

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 946/51, 9667/982?

Answer: LCM of Numerators as per given numbers 946/51, 9667/982 is

LCM of Numerators i.e. for 946,9667 is 9144982

GCF of denominators i.e. for 51,982 is 1.

Thus, LCM of Fractions is 9144982.Finally, LCM of Fractions for 946/51, 9667/982 is 9144982.