Least Common Multiple of 40/773, 84/812, 449/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/773, 84/812, 449/986 quickly i.e. 377160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/773, 84/812, 449/986 is 377160.

LCM(40/773, 84/812, 449/986) = 377160

LCM of 40/773, 84/812, 449/986

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 40/773,84/812,449/986

Given numbers are 40/773,84/812,449/986

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 40,84,449

Least Common Multiple of Numerators i.e. LCM of 40,84,449 is 377160.

GCF of Denominators means GCF of 773,812,986 as per the given fractions.

GCF of 773,812,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,84,449

LCM of Fractions 40/773,84/812,449/986 is 377160

2 40, 84, 449
2 20, 42, 449
10, 21, 449

∴ So the LCM of the given numbers is 2 x 2 x 10 x 21 x 449 = 377160

Least Common Multiple of 40,84,449 with GCF Formula

Least Common Multiple of 40,84,449 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 40,84,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,84,449) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,84,449) x common factors =1 x 4 = 4

LCM(40,84,449) = ( 40 × 84 × 449 ) / 4

LCM(40,84,449) = 1508640 / 4

LCM(40,84,449) = 377160


Lets's calculate GCF of 773,812,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377160/1

Therefore the LCM of Fractions 40/773,84/812,449/986 is 377160

Greatest Common Factor of 773,812,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,812,986 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 773,812,986 . The biggest common factor number is the GCF number.
So the greatest common factor 773,812,986 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 40/773, 84/812, 449/986

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 40/773, 84/812, 449/986?

Answer: LCM of Numerators as per given numbers 40/773, 84/812, 449/986 is

LCM of Numerators i.e. for 40,84,449 is 377160

GCF of denominators i.e. for 773,812,986 is 1.

Thus, LCM of Fractions is 377160.Finally, LCM of Fractions for 40/773, 84/812, 449/986 is 377160.