Least Common Multiple of 71/822, 14/946, 621/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/822, 14/946, 621/410 quickly i.e. 308637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/822, 14/946, 621/410 is 308637.

LCM(71/822, 14/946, 621/410) = 308637

LCM of 71/822, 14/946, 621/410

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 71/822,14/946,621/410

Given numbers are 71/822,14/946,621/410

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 71,14,621

Least Common Multiple of Numerators i.e. LCM of 71,14,621 is 617274.

GCF of Denominators means GCF of 822,946,410 as per the given fractions.

GCF of 822,946,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,14,621

LCM of Fractions 71/822,14/946,621/410 is 308637

Given numbers has no common factors except 1. So, there LCM is their product i.e 617274

Least Common Multiple of 71,14,621 with GCF Formula

Least Common Multiple of 71,14,621 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 71,14,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,14,621) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,14,621) x common factors =1 x 1 = 1

LCM(71,14,621) = ( 71 × 14 × 621 ) / 1

LCM(71,14,621) = 617274 / 1

LCM(71,14,621) = 617274


Lets's calculate GCF of 822,946,410

2 822, 946, 410
411, 473, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 617274/2

Therefore the LCM of Fractions 71/822,14/946,621/410 is 308637

Greatest Common Factor of 822,946,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,946,410 By Matching Biggest Common Factor Method

Factors of 822

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

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

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 822,946,410 . The biggest common factor number is the GCF number.
So the greatest common factor 822,946,410 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 71/822, 14/946, 621/410

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 71/822, 14/946, 621/410?

Answer: LCM of Numerators as per given numbers 71/822, 14/946, 621/410 is

LCM of Numerators i.e. for 71,14,621 is 617274

GCF of denominators i.e. for 822,946,410 is 2.

Thus, LCM of Fractions is 308637.Finally, LCM of Fractions for 71/822, 14/946, 621/410 is 308637.