Least Common Multiple of 35/286, 46/559, 354/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/286, 46/559, 354/653 quickly i.e. 284970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/286, 46/559, 354/653 is 284970.

LCM(35/286, 46/559, 354/653) = 284970

LCM of 35/286, 46/559, 354/653

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 35/286,46/559,354/653

Given numbers are 35/286,46/559,354/653

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 35,46,354

Least Common Multiple of Numerators i.e. LCM of 35,46,354 is 284970.

GCF of Denominators means GCF of 286,559,653 as per the given fractions.

GCF of 286,559,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,46,354

LCM of Fractions 35/286,46/559,354/653 is 284970

2 35, 46, 354
35, 23, 177

∴ So the LCM of the given numbers is 2 x 35 x 23 x 177 = 284970

Least Common Multiple of 35,46,354 with GCF Formula

Least Common Multiple of 35,46,354 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 35,46,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,46,354) = 1

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

GCF(35,46,354) x common factors =1 x 2 = 2

LCM(35,46,354) = ( 35 × 46 × 354 ) / 2

LCM(35,46,354) = 569940 / 2

LCM(35,46,354) = 284970


Lets's calculate GCF of 286,559,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284970/1

Therefore the LCM of Fractions 35/286,46/559,354/653 is 284970

Greatest Common Factor of 286,559,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,559,653 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 286,559,653 . The biggest common factor number is the GCF number.
So the greatest common factor 286,559,653 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 35/286, 46/559, 354/653

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 35/286, 46/559, 354/653?

Answer: LCM of Numerators as per given numbers 35/286, 46/559, 354/653 is

LCM of Numerators i.e. for 35,46,354 is 284970

GCF of denominators i.e. for 286,559,653 is 1.

Thus, LCM of Fractions is 284970.Finally, LCM of Fractions for 35/286, 46/559, 354/653 is 284970.