Least Common Multiple of 55/40, 286/77, 943/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/40, 286/77, 943/963 quickly i.e. 1348490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/40, 286/77, 943/963 is 1348490.

LCM(55/40, 286/77, 943/963) = 1348490

LCM of 55/40, 286/77, 943/963

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 55/40,286/77,943/963

Given numbers are 55/40,286/77,943/963

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 55,286,943

Least Common Multiple of Numerators i.e. LCM of 55,286,943 is 1348490.

GCF of Denominators means GCF of 40,77,963 as per the given fractions.

GCF of 40,77,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,286,943

LCM of Fractions 55/40,286/77,943/963 is 1348490

11 55, 286, 943
5, 26, 943

∴ So the LCM of the given numbers is 11 x 5 x 26 x 943 = 1348490

Least Common Multiple of 55,286,943 with GCF Formula

Least Common Multiple of 55,286,943 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 55,286,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,286,943) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,286,943) x common factors =1 x 11 = 11

LCM(55,286,943) = ( 55 × 286 × 943 ) / 11

LCM(55,286,943) = 14833390 / 11

LCM(55,286,943) = 1348490


Lets's calculate GCF of 40,77,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1348490/1

Therefore the LCM of Fractions 55/40,286/77,943/963 is 1348490

Greatest Common Factor of 40,77,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,77,963 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 40,77,963 . The biggest common factor number is the GCF number.
So the greatest common factor 40,77,963 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/40, 286/77, 943/963

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 55/40, 286/77, 943/963?

Answer: LCM of Numerators as per given numbers 55/40, 286/77, 943/963 is

LCM of Numerators i.e. for 55,286,943 is 1348490

GCF of denominators i.e. for 40,77,963 is 1.

Thus, LCM of Fractions is 1348490.Finally, LCM of Fractions for 55/40, 286/77, 943/963 is 1348490.