Least Common Multiple of 960/66, 927/63, 504/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/66, 927/63, 504/556 quickly i.e. 2076480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/66, 927/63, 504/556 is 2076480.

LCM(960/66, 927/63, 504/556) = 2076480

LCM of 960/66, 927/63, 504/556

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 960/66,927/63,504/556

Given numbers are 960/66,927/63,504/556

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 960,927,504

Least Common Multiple of Numerators i.e. LCM of 960,927,504 is 2076480.

GCF of Denominators means GCF of 66,63,556 as per the given fractions.

GCF of 66,63,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,927,504

LCM of Fractions 960/66,927/63,504/556 is 2076480

2 960, 927, 504
2 480, 927, 252
2 240, 927, 126
3 120, 927, 63
3 40, 309, 21
40, 103, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 40 x 103 x 7 = 2076480

Least Common Multiple of 960,927,504 with GCF Formula

Least Common Multiple of 960,927,504 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 960,927,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,927,504) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(960,927,504) x common factors =3 x 72 = 216

LCM(960,927,504) = ( 960 × 927 × 504 ) / 216

LCM(960,927,504) = 448519680 / 216

LCM(960,927,504) = 2076480


Lets's calculate GCF of 66,63,556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2076480/1

Therefore the LCM of Fractions 960/66,927/63,504/556 is 2076480

Greatest Common Factor of 66,63,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,63,556 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 66,63,556 . The biggest common factor number is the GCF number.
So the greatest common factor 66,63,556 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 960/66, 927/63, 504/556

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 960/66, 927/63, 504/556?

Answer: LCM of Numerators as per given numbers 960/66, 927/63, 504/556 is

LCM of Numerators i.e. for 960,927,504 is 2076480

GCF of denominators i.e. for 66,63,556 is 1.

Thus, LCM of Fractions is 2076480.Finally, LCM of Fractions for 960/66, 927/63, 504/556 is 2076480.