Least Common Multiple of 66/321, 70/991, 837/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/321, 70/991, 837/353 quickly i.e. 644490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/321, 70/991, 837/353 is 644490.

LCM(66/321, 70/991, 837/353) = 644490

LCM of 66/321, 70/991, 837/353

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 66/321,70/991,837/353

Given numbers are 66/321,70/991,837/353

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 66,70,837

Least Common Multiple of Numerators i.e. LCM of 66,70,837 is 644490.

GCF of Denominators means GCF of 321,991,353 as per the given fractions.

GCF of 321,991,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,70,837

LCM of Fractions 66/321,70/991,837/353 is 644490

2 66, 70, 837
3 33, 35, 837
11, 35, 279

∴ So the LCM of the given numbers is 2 x 3 x 11 x 35 x 279 = 644490

Least Common Multiple of 66,70,837 with GCF Formula

Least Common Multiple of 66,70,837 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 66,70,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,70,837) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,70,837) x common factors =1 x 6 = 6

LCM(66,70,837) = ( 66 × 70 × 837 ) / 6

LCM(66,70,837) = 3866940 / 6

LCM(66,70,837) = 644490


Lets's calculate GCF of 321,991,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644490/1

Therefore the LCM of Fractions 66/321,70/991,837/353 is 644490

Greatest Common Factor of 321,991,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,991,353 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 321,991,353 . The biggest common factor number is the GCF number.
So the greatest common factor 321,991,353 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 66/321, 70/991, 837/353

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 66/321, 70/991, 837/353?

Answer: LCM of Numerators as per given numbers 66/321, 70/991, 837/353 is

LCM of Numerators i.e. for 66,70,837 is 644490

GCF of denominators i.e. for 321,991,353 is 1.

Thus, LCM of Fractions is 644490.Finally, LCM of Fractions for 66/321, 70/991, 837/353 is 644490.