Least Common Multiple of 734/570, 378/862, 497/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/570, 378/862, 497/720 quickly i.e. 4924773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/570, 378/862, 497/720 is 4924773.

LCM(734/570, 378/862, 497/720) = 4924773

LCM of 734/570, 378/862, 497/720

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 734/570,378/862,497/720

Given numbers are 734/570,378/862,497/720

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 734,378,497

Least Common Multiple of Numerators i.e. LCM of 734,378,497 is 9849546.

GCF of Denominators means GCF of 570,862,720 as per the given fractions.

GCF of 570,862,720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,378,497

LCM of Fractions 734/570,378/862,497/720 is 4924773

2 734, 378, 497
7 367, 189, 497
367, 27, 71

∴ So the LCM of the given numbers is 2 x 7 x 367 x 27 x 71 = 9849546

Least Common Multiple of 734,378,497 with GCF Formula

Least Common Multiple of 734,378,497 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 734,378,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,378,497) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(734,378,497) x common factors =1 x 14 = 14

LCM(734,378,497) = ( 734 × 378 × 497 ) / 14

LCM(734,378,497) = 137893644 / 14

LCM(734,378,497) = 9849546


Lets's calculate GCF of 570,862,720

2 570, 862, 720
285, 431, 360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9849546/2

Therefore the LCM of Fractions 734/570,378/862,497/720 is 4924773

Greatest Common Factor of 570,862,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,862,720 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 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 570,862,720 . The biggest common factor number is the GCF number.
So the greatest common factor 570,862,720 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 734/570, 378/862, 497/720

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 734/570, 378/862, 497/720?

Answer: LCM of Numerators as per given numbers 734/570, 378/862, 497/720 is

LCM of Numerators i.e. for 734,378,497 is 9849546

GCF of denominators i.e. for 570,862,720 is 2.

Thus, LCM of Fractions is 4924773.Finally, LCM of Fractions for 734/570, 378/862, 497/720 is 4924773.