Least Common Multiple of 134/740, 401/476, 819/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 134/740, 401/476, 819/570 quickly i.e. 22004073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/740, 401/476, 819/570 is 22004073.

LCM(134/740, 401/476, 819/570) = 22004073

LCM of 134/740, 401/476, 819/570

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 134/740,401/476,819/570

Given numbers are 134/740,401/476,819/570

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 134,401,819

Least Common Multiple of Numerators i.e. LCM of 134,401,819 is 44008146.

GCF of Denominators means GCF of 740,476,570 as per the given fractions.

GCF of 740,476,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,401,819

LCM of Fractions 134/740,401/476,819/570 is 22004073

Given numbers has no common factors except 1. So, there LCM is their product i.e 44008146

Least Common Multiple of 134,401,819 with GCF Formula

Least Common Multiple of 134,401,819 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 134,401,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,401,819) = 1

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

GCF(134,401,819) x common factors =1 x 1 = 1

LCM(134,401,819) = ( 134 × 401 × 819 ) / 1

LCM(134,401,819) = 44008146 / 1

LCM(134,401,819) = 44008146


Lets's calculate GCF of 740,476,570

2 740, 476, 570
370, 238, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44008146/2

Therefore the LCM of Fractions 134/740,401/476,819/570 is 22004073

Greatest Common Factor of 740,476,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,476,570 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 740,476,570 . The biggest common factor number is the GCF number.
So the greatest common factor 740,476,570 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 134/740, 401/476, 819/570

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 134/740, 401/476, 819/570?

Answer: LCM of Numerators as per given numbers 134/740, 401/476, 819/570 is

LCM of Numerators i.e. for 134,401,819 is 44008146

GCF of denominators i.e. for 740,476,570 is 2.

Thus, LCM of Fractions is 22004073.Finally, LCM of Fractions for 134/740, 401/476, 819/570 is 22004073.