Least Common Multiple of 367/33, 986/7571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/33, 986/7571 quickly i.e. 361862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/33, 986/7571 is 361862.

LCM(367/33, 986/7571) = 361862

LCM of 367/33, 986/7571

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 367/33,986/7571

Given numbers are 367/33,986/7571

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 367,986

Least Common Multiple of Numerators i.e. LCM of 367,986 is 361862.

GCF of Denominators means GCF of 33,7571 as per the given fractions.

GCF of 33,7571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,986

LCM of Fractions 367/33,986/7571 is 361862

Given numbers has no common factors except 1. So, there LCM is their product i.e 361862

Least Common Multiple of 367,986 with GCF Formula

Least Common Multiple of 367,986 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 367,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,986) = 1

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

GCF(367,986) x common factors =1 x 1 = 1

LCM(367,986) = ( 367 × 986 ) / 1

LCM(367,986) = 361862 / 1

LCM(367,986) = 361862


Lets's calculate GCF of 33,7571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361862/1

Therefore the LCM of Fractions 367/33,986/7571 is 361862

Greatest Common Factor of 33,7571 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,7571 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 7571

List of positive integer factors of 7571 that divides 7571 without a remainder.

1,67,113,7571

Greatest Common Factor

We found the factors 33,7571 . The biggest common factor number is the GCF number.
So the greatest common factor 33,7571 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 367/33, 986/7571

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 367/33, 986/7571?

Answer: LCM of Numerators as per given numbers 367/33, 986/7571 is

LCM of Numerators i.e. for 367,986 is 361862

GCF of denominators i.e. for 33,7571 is 1.

Thus, LCM of Fractions is 361862.Finally, LCM of Fractions for 367/33, 986/7571 is 361862.