Least Common Multiple of 70/570, 380/432, 723/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/570, 380/432, 723/919 quickly i.e. 1923180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/570, 380/432, 723/919 is 1923180.

LCM(70/570, 380/432, 723/919) = 1923180

LCM of 70/570, 380/432, 723/919

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 70/570,380/432,723/919

Given numbers are 70/570,380/432,723/919

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 70,380,723

Least Common Multiple of Numerators i.e. LCM of 70,380,723 is 1923180.

GCF of Denominators means GCF of 570,432,919 as per the given fractions.

GCF of 570,432,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,380,723

LCM of Fractions 70/570,380/432,723/919 is 1923180

2 70, 380, 723
5 35, 190, 723
7, 38, 723

∴ So the LCM of the given numbers is 2 x 5 x 7 x 38 x 723 = 1923180

Least Common Multiple of 70,380,723 with GCF Formula

Least Common Multiple of 70,380,723 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 70,380,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,380,723) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,380,723) x common factors =1 x 10 = 10

LCM(70,380,723) = ( 70 × 380 × 723 ) / 10

LCM(70,380,723) = 19231800 / 10

LCM(70,380,723) = 1923180


Lets's calculate GCF of 570,432,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1923180/1

Therefore the LCM of Fractions 70/570,380/432,723/919 is 1923180

Greatest Common Factor of 570,432,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,432,919 By Matching Biggest Common Factor Method

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

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 570,432,919 . The biggest common factor number is the GCF number.
So the greatest common factor 570,432,919 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 70/570, 380/432, 723/919

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 70/570, 380/432, 723/919?

Answer: LCM of Numerators as per given numbers 70/570, 380/432, 723/919 is

LCM of Numerators i.e. for 70,380,723 is 1923180

GCF of denominators i.e. for 570,432,919 is 1.

Thus, LCM of Fractions is 1923180.Finally, LCM of Fractions for 70/570, 380/432, 723/919 is 1923180.