Least Common Multiple of 693/35, 165/76, 149/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/35, 165/76, 149/321 quickly i.e. 516285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/35, 165/76, 149/321 is 516285.

LCM(693/35, 165/76, 149/321) = 516285

LCM of 693/35, 165/76, 149/321

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 693/35,165/76,149/321

Given numbers are 693/35,165/76,149/321

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 693,165,149

Least Common Multiple of Numerators i.e. LCM of 693,165,149 is 516285.

GCF of Denominators means GCF of 35,76,321 as per the given fractions.

GCF of 35,76,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,165,149

LCM of Fractions 693/35,165/76,149/321 is 516285

3 693, 165, 149
11 231, 55, 149
21, 5, 149

∴ So the LCM of the given numbers is 3 x 11 x 21 x 5 x 149 = 516285

Least Common Multiple of 693,165,149 with GCF Formula

Least Common Multiple of 693,165,149 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 693,165,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,165,149) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(693,165,149) x common factors =1 x 33 = 33

LCM(693,165,149) = ( 693 × 165 × 149 ) / 33

LCM(693,165,149) = 17037405 / 33

LCM(693,165,149) = 516285


Lets's calculate GCF of 35,76,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 516285/1

Therefore the LCM of Fractions 693/35,165/76,149/321 is 516285

Greatest Common Factor of 35,76,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,76,321 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 321

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

1,3,107,321

Greatest Common Factor

We found the factors 35,76,321 . The biggest common factor number is the GCF number.
So the greatest common factor 35,76,321 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 693/35, 165/76, 149/321

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 693/35, 165/76, 149/321?

Answer: LCM of Numerators as per given numbers 693/35, 165/76, 149/321 is

LCM of Numerators i.e. for 693,165,149 is 516285

GCF of denominators i.e. for 35,76,321 is 1.

Thus, LCM of Fractions is 516285.Finally, LCM of Fractions for 693/35, 165/76, 149/321 is 516285.