Least Common Multiple of 69/226, 188/402, 849/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/226, 188/402, 849/872 quickly i.e. 1835538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/226, 188/402, 849/872 is 1835538.

LCM(69/226, 188/402, 849/872) = 1835538

LCM of 69/226, 188/402, 849/872

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 69/226,188/402,849/872

Given numbers are 69/226,188/402,849/872

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 69,188,849

Least Common Multiple of Numerators i.e. LCM of 69,188,849 is 3671076.

GCF of Denominators means GCF of 226,402,872 as per the given fractions.

GCF of 226,402,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,188,849

LCM of Fractions 69/226,188/402,849/872 is 1835538

3 69, 188, 849
23, 188, 283

∴ So the LCM of the given numbers is 3 x 23 x 188 x 283 = 3671076

Least Common Multiple of 69,188,849 with GCF Formula

Least Common Multiple of 69,188,849 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 69,188,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,188,849) = 1

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

GCF(69,188,849) x common factors =1 x 3 = 3

LCM(69,188,849) = ( 69 × 188 × 849 ) / 3

LCM(69,188,849) = 11013228 / 3

LCM(69,188,849) = 3671076


Lets's calculate GCF of 226,402,872

2 226, 402, 872
113, 201, 436

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3671076/2

Therefore the LCM of Fractions 69/226,188/402,849/872 is 1835538

Greatest Common Factor of 226,402,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,402,872 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 226,402,872 . The biggest common factor number is the GCF number.
So the greatest common factor 226,402,872 is 2.


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 69/226, 188/402, 849/872

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 69/226, 188/402, 849/872?

Answer: LCM of Numerators as per given numbers 69/226, 188/402, 849/872 is

LCM of Numerators i.e. for 69,188,849 is 3671076

GCF of denominators i.e. for 226,402,872 is 2.

Thus, LCM of Fractions is 1835538.Finally, LCM of Fractions for 69/226, 188/402, 849/872 is 1835538.