Least Common Multiple of 35/858, 42/366, 143/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/858, 42/366, 143/609 quickly i.e. 10010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/858, 42/366, 143/609 is 10010.

LCM(35/858, 42/366, 143/609) = 10010

LCM of 35/858, 42/366, 143/609

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 35/858,42/366,143/609

Given numbers are 35/858,42/366,143/609

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 35,42,143

Least Common Multiple of Numerators i.e. LCM of 35,42,143 is 30030.

GCF of Denominators means GCF of 858,366,609 as per the given fractions.

GCF of 858,366,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,42,143

LCM of Fractions 35/858,42/366,143/609 is 10010

7 35, 42, 143
5, 6, 143

∴ So the LCM of the given numbers is 7 x 5 x 6 x 143 = 30030

Least Common Multiple of 35,42,143 with GCF Formula

Least Common Multiple of 35,42,143 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 35,42,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,42,143) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,42,143) x common factors =1 x 7 = 7

LCM(35,42,143) = ( 35 × 42 × 143 ) / 7

LCM(35,42,143) = 210210 / 7

LCM(35,42,143) = 30030


Lets's calculate GCF of 858,366,609

3 858, 366, 609
286, 122, 203

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30030/3

Therefore the LCM of Fractions 35/858,42/366,143/609 is 10010

Greatest Common Factor of 858,366,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,366,609 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 858,366,609 . The biggest common factor number is the GCF number.
So the greatest common factor 858,366,609 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/858, 42/366, 143/609

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 35/858, 42/366, 143/609?

Answer: LCM of Numerators as per given numbers 35/858, 42/366, 143/609 is

LCM of Numerators i.e. for 35,42,143 is 30030

GCF of denominators i.e. for 858,366,609 is 3.

Thus, LCM of Fractions is 10010.Finally, LCM of Fractions for 35/858, 42/366, 143/609 is 10010.