Least Common Multiple of 153/168, 706/858, 213/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/168, 706/858, 213/969 quickly i.e. 2556426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/168, 706/858, 213/969 is 2556426.

LCM(153/168, 706/858, 213/969) = 2556426

LCM of 153/168, 706/858, 213/969

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 153/168,706/858,213/969

Given numbers are 153/168,706/858,213/969

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 153,706,213

Least Common Multiple of Numerators i.e. LCM of 153,706,213 is 7669278.

GCF of Denominators means GCF of 168,858,969 as per the given fractions.

GCF of 168,858,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,706,213

LCM of Fractions 153/168,706/858,213/969 is 2556426

3 153, 706, 213
51, 706, 71

∴ So the LCM of the given numbers is 3 x 51 x 706 x 71 = 7669278

Least Common Multiple of 153,706,213 with GCF Formula

Least Common Multiple of 153,706,213 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 153,706,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,706,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(153,706,213) x common factors =1 x 3 = 3

LCM(153,706,213) = ( 153 × 706 × 213 ) / 3

LCM(153,706,213) = 23007834 / 3

LCM(153,706,213) = 7669278


Lets's calculate GCF of 168,858,969

3 168, 858, 969
56, 286, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7669278/3

Therefore the LCM of Fractions 153/168,706/858,213/969 is 2556426

Greatest Common Factor of 168,858,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,858,969 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

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 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 168,858,969 . The biggest common factor number is the GCF number.
So the greatest common factor 168,858,969 is 3.


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 153/168, 706/858, 213/969

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 153/168, 706/858, 213/969?

Answer: LCM of Numerators as per given numbers 153/168, 706/858, 213/969 is

LCM of Numerators i.e. for 153,706,213 is 7669278

GCF of denominators i.e. for 168,858,969 is 3.

Thus, LCM of Fractions is 2556426.Finally, LCM of Fractions for 153/168, 706/858, 213/969 is 2556426.