Least Common Multiple of 946/75, 5241/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 946/75, 5241/882 quickly i.e. 1652662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/75, 5241/882 is 1652662.

LCM(946/75, 5241/882) = 1652662

LCM of 946/75, 5241/882

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 946/75,5241/882

Given numbers are 946/75,5241/882

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 946,5241

Least Common Multiple of Numerators i.e. LCM of 946,5241 is 4957986.

GCF of Denominators means GCF of 75,882 as per the given fractions.

GCF of 75,882 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,5241

LCM of Fractions 946/75,5241/882 is 1652662

Given numbers has no common factors except 1. So, there LCM is their product i.e 4957986

Least Common Multiple of 946,5241 with GCF Formula

Least Common Multiple of 946,5241 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 946,5241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,5241) = 1

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

GCF(946,5241) x common factors =1 x 1 = 1

LCM(946,5241) = ( 946 × 5241 ) / 1

LCM(946,5241) = 4957986 / 1

LCM(946,5241) = 4957986


Lets's calculate GCF of 75,882

3 75, 882
25, 294

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4957986/3

Therefore the LCM of Fractions 946/75,5241/882 is 1652662

Greatest Common Factor of 75,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,882 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 75,882 . The biggest common factor number is the GCF number.
So the greatest common factor 75,882 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 946/75, 5241/882

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 946/75, 5241/882?

Answer: LCM of Numerators as per given numbers 946/75, 5241/882 is

LCM of Numerators i.e. for 946,5241 is 4957986

GCF of denominators i.e. for 75,882 is 3.

Thus, LCM of Fractions is 1652662.Finally, LCM of Fractions for 946/75, 5241/882 is 1652662.