Least Common Multiple of 71/370, 357/833, 990/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/370, 357/833, 990/822 quickly i.e. 8364510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/370, 357/833, 990/822 is 8364510.

LCM(71/370, 357/833, 990/822) = 8364510

LCM of 71/370, 357/833, 990/822

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 71/370,357/833,990/822

Given numbers are 71/370,357/833,990/822

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 71,357,990

Least Common Multiple of Numerators i.e. LCM of 71,357,990 is 8364510.

GCF of Denominators means GCF of 370,833,822 as per the given fractions.

GCF of 370,833,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,357,990

LCM of Fractions 71/370,357/833,990/822 is 8364510

3 71, 357, 990
71, 119, 330

∴ So the LCM of the given numbers is 3 x 71 x 119 x 330 = 8364510

Least Common Multiple of 71,357,990 with GCF Formula

Least Common Multiple of 71,357,990 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 71,357,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,357,990) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(71,357,990) x common factors =1 x 3 = 3

LCM(71,357,990) = ( 71 × 357 × 990 ) / 3

LCM(71,357,990) = 25093530 / 3

LCM(71,357,990) = 8364510


Lets's calculate GCF of 370,833,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8364510/1

Therefore the LCM of Fractions 71/370,357/833,990/822 is 8364510

Greatest Common Factor of 370,833,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,833,822 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

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 370,833,822 . The biggest common factor number is the GCF number.
So the greatest common factor 370,833,822 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 71/370, 357/833, 990/822

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 71/370, 357/833, 990/822?

Answer: LCM of Numerators as per given numbers 71/370, 357/833, 990/822 is

LCM of Numerators i.e. for 71,357,990 is 8364510

GCF of denominators i.e. for 370,833,822 is 1.

Thus, LCM of Fractions is 8364510.Finally, LCM of Fractions for 71/370, 357/833, 990/822 is 8364510.