Least Common Multiple of 564/946, 1467/9777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/946, 1467/9777 quickly i.e. 275796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/946, 1467/9777 is 275796.

LCM(564/946, 1467/9777) = 275796

LCM of 564/946, 1467/9777

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 564/946,1467/9777

Given numbers are 564/946,1467/9777

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 564,1467

Least Common Multiple of Numerators i.e. LCM of 564,1467 is 275796.

GCF of Denominators means GCF of 946,9777 as per the given fractions.

GCF of 946,9777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,1467

LCM of Fractions 564/946,1467/9777 is 275796

3 564, 1467
188, 489

∴ So the LCM of the given numbers is 3 x 188 x 489 = 275796

Least Common Multiple of 564,1467 with GCF Formula

Least Common Multiple of 564,1467 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 564,1467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,1467) = 3

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

GCF(564,1467) x common factors =3 x 1 = 3

LCM(564,1467) = ( 564 × 1467 ) / 3

LCM(564,1467) = 827388 / 3

LCM(564,1467) = 275796


Lets's calculate GCF of 946,9777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275796/1

Therefore the LCM of Fractions 564/946,1467/9777 is 275796

Greatest Common Factor of 946,9777 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,9777 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 9777

List of positive integer factors of 9777 that divides 9777 without a remainder.

1,3,3259,9777

Greatest Common Factor

We found the factors 946,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 946,9777 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 564/946, 1467/9777

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 564/946, 1467/9777?

Answer: LCM of Numerators as per given numbers 564/946, 1467/9777 is

LCM of Numerators i.e. for 564,1467 is 275796

GCF of denominators i.e. for 946,9777 is 1.

Thus, LCM of Fractions is 275796.Finally, LCM of Fractions for 564/946, 1467/9777 is 275796.