Least Common Multiple of 94/599, 19/649, 670/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/599, 19/649, 670/822 quickly i.e. 598310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/599, 19/649, 670/822 is 598310.

LCM(94/599, 19/649, 670/822) = 598310

LCM of 94/599, 19/649, 670/822

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 94/599,19/649,670/822

Given numbers are 94/599,19/649,670/822

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 94,19,670

Least Common Multiple of Numerators i.e. LCM of 94,19,670 is 598310.

GCF of Denominators means GCF of 599,649,822 as per the given fractions.

GCF of 599,649,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,19,670

LCM of Fractions 94/599,19/649,670/822 is 598310

2 94, 19, 670
47, 19, 335

∴ So the LCM of the given numbers is 2 x 47 x 19 x 335 = 598310

Least Common Multiple of 94,19,670 with GCF Formula

Least Common Multiple of 94,19,670 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 94,19,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,19,670) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,19,670) x common factors =1 x 2 = 2

LCM(94,19,670) = ( 94 × 19 × 670 ) / 2

LCM(94,19,670) = 1196620 / 2

LCM(94,19,670) = 598310


Lets's calculate GCF of 599,649,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598310/1

Therefore the LCM of Fractions 94/599,19/649,670/822 is 598310

Greatest Common Factor of 599,649,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,649,822 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 599,649,822 . The biggest common factor number is the GCF number.
So the greatest common factor 599,649,822 is 1.


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Frequently Asked Questions on Fractional LCM of 94/599, 19/649, 670/822

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 94/599, 19/649, 670/822?

Answer: LCM of Numerators as per given numbers 94/599, 19/649, 670/822 is

LCM of Numerators i.e. for 94,19,670 is 598310

GCF of denominators i.e. for 599,649,822 is 1.

Thus, LCM of Fractions is 598310.Finally, LCM of Fractions for 94/599, 19/649, 670/822 is 598310.