Least Common Multiple of 313/84, 977/24, 549/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/84, 977/24, 549/463 quickly i.e. 167884749 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/84, 977/24, 549/463 is 167884749.

LCM(313/84, 977/24, 549/463) = 167884749

LCM of 313/84, 977/24, 549/463

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 313/84,977/24,549/463

Given numbers are 313/84,977/24,549/463

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 313,977,549

Least Common Multiple of Numerators i.e. LCM of 313,977,549 is 167884749.

GCF of Denominators means GCF of 84,24,463 as per the given fractions.

GCF of 84,24,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,977,549

LCM of Fractions 313/84,977/24,549/463 is 167884749

Given numbers has no common factors except 1. So, there LCM is their product i.e 167884749

Least Common Multiple of 313,977,549 with GCF Formula

Least Common Multiple of 313,977,549 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 313,977,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,977,549) = 1

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

GCF(313,977,549) x common factors =1 x 1 = 1

LCM(313,977,549) = ( 313 × 977 × 549 ) / 1

LCM(313,977,549) = 167884749 / 1

LCM(313,977,549) = 167884749


Lets's calculate GCF of 84,24,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167884749/1

Therefore the LCM of Fractions 313/84,977/24,549/463 is 167884749

Greatest Common Factor of 84,24,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,24,463 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 84,24,463 . The biggest common factor number is the GCF number.
So the greatest common factor 84,24,463 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 313/84, 977/24, 549/463

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 313/84, 977/24, 549/463?

Answer: LCM of Numerators as per given numbers 313/84, 977/24, 549/463 is

LCM of Numerators i.e. for 313,977,549 is 167884749

GCF of denominators i.e. for 84,24,463 is 1.

Thus, LCM of Fractions is 167884749.Finally, LCM of Fractions for 313/84, 977/24, 549/463 is 167884749.