LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 230, 874, 276, 594, 473

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 230, 874, 276, 594, 473 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 230, 874, 276, 594, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,874,276,594,473

Given numbers are 230,874,276,594,473

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 230,874,276,594,473 is 111618540.

Find LCM of 230,874,276,594,473 with Prime Factorization


2 230, 874, 276, 594, 473
3 115, 437, 138, 297, 473
11 115, 437, 46, 99, 473
23 115, 437, 46, 9, 43
5, 19, 2, 9, 43

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 11 x 23 x 5 x 19 x 2 x 9 x 43 = 111618540

Therefore, the lowest common multiple of 230,874,276,594,473 is 111618540.

LCM Formula to Find Lowest Common Multiple of 230,874,276,594,473

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

230 x 874 x 276 x 594 x 473 = 15588198822240

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

230 : 1, 2, 5, 10, 23, 46, 115, 230

874 : 1, 2, 19, 23, 38, 46, 437, 874

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,874,276,594,473, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

874:2x 19x 23

276:2x 2x 3x 23

594:2x 3x 3x 3x 11

473:11x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 11x 23x 23 = 139656

Therefore, the value for common factors is 139656.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15588198822240/(1x139656)

LCM = 15588198822240/139656

LCM = 111618540

Thus, we can understand that the LCM of 230,874,276,594,473 is 111618540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 874, 276, 594, 473

1. What is the LCM of 230, 874, 276, 594, 473?

Answer: LCM of 230, 874, 276, 594, 473 is 111618540.

2. How to calculate the LCM of 230, 874, 276, 594, 473?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 230, 874, 276, 594, 473.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.