Least Common Multiple of 37/77, 993/37, 323/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/77, 993/37, 323/306 quickly i.e. 11867343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/77, 993/37, 323/306 is 11867343.

LCM(37/77, 993/37, 323/306) = 11867343

LCM of 37/77, 993/37, 323/306

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 37/77,993/37,323/306

Given numbers are 37/77,993/37,323/306

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 37,993,323

Least Common Multiple of Numerators i.e. LCM of 37,993,323 is 11867343.

GCF of Denominators means GCF of 77,37,306 as per the given fractions.

GCF of 77,37,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,993,323

LCM of Fractions 37/77,993/37,323/306 is 11867343

Given numbers has no common factors except 1. So, there LCM is their product i.e 11867343

Least Common Multiple of 37,993,323 with GCF Formula

Least Common Multiple of 37,993,323 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 37,993,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,993,323) = 1

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

GCF(37,993,323) x common factors =1 x 1 = 1

LCM(37,993,323) = ( 37 × 993 × 323 ) / 1

LCM(37,993,323) = 11867343 / 1

LCM(37,993,323) = 11867343


Lets's calculate GCF of 77,37,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11867343/1

Therefore the LCM of Fractions 37/77,993/37,323/306 is 11867343

Greatest Common Factor of 77,37,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,37,306 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 77,37,306 . The biggest common factor number is the GCF number.
So the greatest common factor 77,37,306 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 37/77, 993/37, 323/306

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 37/77, 993/37, 323/306?

Answer: LCM of Numerators as per given numbers 37/77, 993/37, 323/306 is

LCM of Numerators i.e. for 37,993,323 is 11867343

GCF of denominators i.e. for 77,37,306 is 1.

Thus, LCM of Fractions is 11867343.Finally, LCM of Fractions for 37/77, 993/37, 323/306 is 11867343.