Least Common Multiple of 600/970, 830/989, 810/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/970, 830/989, 810/784 quickly i.e. 1344600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/970, 830/989, 810/784 is 1344600.

LCM(600/970, 830/989, 810/784) = 1344600

LCM of 600/970, 830/989, 810/784

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 600/970,830/989,810/784

Given numbers are 600/970,830/989,810/784

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 600,830,810

Least Common Multiple of Numerators i.e. LCM of 600,830,810 is 1344600.

GCF of Denominators means GCF of 970,989,784 as per the given fractions.

GCF of 970,989,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,830,810

LCM of Fractions 600/970,830/989,810/784 is 1344600

2 600, 830, 810
3 300, 415, 405
5 100, 415, 135
20, 83, 27

∴ So the LCM of the given numbers is 2 x 3 x 5 x 20 x 83 x 27 = 1344600

Least Common Multiple of 600,830,810 with GCF Formula

Least Common Multiple of 600,830,810 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 600,830,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,830,810) = 10

common factors(in case of two or more numbers have common factors) = 30

GCF(600,830,810) x common factors =10 x 30 = 300

LCM(600,830,810) = ( 600 × 830 × 810 ) / 300

LCM(600,830,810) = 403380000 / 300

LCM(600,830,810) = 1344600


Lets's calculate GCF of 970,989,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344600/1

Therefore the LCM of Fractions 600/970,830/989,810/784 is 1344600

Greatest Common Factor of 970,989,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,989,784 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 970,989,784 . The biggest common factor number is the GCF number.
So the greatest common factor 970,989,784 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 600/970, 830/989, 810/784

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 600/970, 830/989, 810/784?

Answer: LCM of Numerators as per given numbers 600/970, 830/989, 810/784 is

LCM of Numerators i.e. for 600,830,810 is 1344600

GCF of denominators i.e. for 970,989,784 is 1.

Thus, LCM of Fractions is 1344600.Finally, LCM of Fractions for 600/970, 830/989, 810/784 is 1344600.