Least Common Multiple of 571/66, 316/14, 427/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/66, 316/14, 427/802 quickly i.e. 38523086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/66, 316/14, 427/802 is 38523086.

LCM(571/66, 316/14, 427/802) = 38523086

LCM of 571/66, 316/14, 427/802

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 571/66,316/14,427/802

Given numbers are 571/66,316/14,427/802

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 571,316,427

Least Common Multiple of Numerators i.e. LCM of 571,316,427 is 77046172.

GCF of Denominators means GCF of 66,14,802 as per the given fractions.

GCF of 66,14,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,316,427

LCM of Fractions 571/66,316/14,427/802 is 38523086

Given numbers has no common factors except 1. So, there LCM is their product i.e 77046172

Least Common Multiple of 571,316,427 with GCF Formula

Least Common Multiple of 571,316,427 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 571,316,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,316,427) = 1

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

GCF(571,316,427) x common factors =1 x 1 = 1

LCM(571,316,427) = ( 571 × 316 × 427 ) / 1

LCM(571,316,427) = 77046172 / 1

LCM(571,316,427) = 77046172


Lets's calculate GCF of 66,14,802

2 66, 14, 802
33, 7, 401

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77046172/2

Therefore the LCM of Fractions 571/66,316/14,427/802 is 38523086

Greatest Common Factor of 66,14,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,14,802 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 66,14,802 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,802 is 2.


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 571/66, 316/14, 427/802

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 571/66, 316/14, 427/802?

Answer: LCM of Numerators as per given numbers 571/66, 316/14, 427/802 is

LCM of Numerators i.e. for 571,316,427 is 77046172

GCF of denominators i.e. for 66,14,802 is 2.

Thus, LCM of Fractions is 38523086.Finally, LCM of Fractions for 571/66, 316/14, 427/802 is 38523086.