Least Common Multiple of 581/119, 762/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/119, 762/470 quickly i.e. 442722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/119, 762/470 is 442722.

LCM(581/119, 762/470) = 442722

LCM of 581/119, 762/470

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 581/119,762/470

Given numbers are 581/119,762/470

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 581,762

Least Common Multiple of Numerators i.e. LCM of 581,762 is 442722.

GCF of Denominators means GCF of 119,470 as per the given fractions.

GCF of 119,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,762

LCM of Fractions 581/119,762/470 is 442722

Given numbers has no common factors except 1. So, there LCM is their product i.e 442722

Least Common Multiple of 581,762 with GCF Formula

Least Common Multiple of 581,762 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 581,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,762) = 1

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

GCF(581,762) x common factors =1 x 1 = 1

LCM(581,762) = ( 581 × 762 ) / 1

LCM(581,762) = 442722 / 1

LCM(581,762) = 442722


Lets's calculate GCF of 119,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442722/1

Therefore the LCM of Fractions 581/119,762/470 is 442722

Greatest Common Factor of 119,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,470 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 119,470 . The biggest common factor number is the GCF number.
So the greatest common factor 119,470 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 581/119, 762/470

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 581/119, 762/470?

Answer: LCM of Numerators as per given numbers 581/119, 762/470 is

LCM of Numerators i.e. for 581,762 is 442722

GCF of denominators i.e. for 119,470 is 1.

Thus, LCM of Fractions is 442722.Finally, LCM of Fractions for 581/119, 762/470 is 442722.