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LCM of 694, 594, 906, 730, 442

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


Find the LCM of 694, 594, 906, 730, 442 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 694, 594, 906, 730, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,594,906,730,442

Given numbers are 694,594,906,730,442

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

The LCM of 694,594,906,730,442 is 2510602778970.

Find LCM of 694,594,906,730,442 with Prime Factorization


2 694, 594, 906, 730, 442
3 347, 297, 453, 365, 221
347, 99, 151, 365, 221

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

2 x 3 x 347 x 99 x 151 x 365 x 221 = 2510602778970

Therefore, the lowest common multiple of 694,594,906,730,442 is 2510602778970.

LCM Formula to Find Lowest Common Multiple of 694,594,906,730,442

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.

694 x 594 x 906 x 730 x 442 = 120508933390560

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.

694 : 1, 2, 347, 694

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

730 : 1, 2, 5, 10, 73, 146, 365, 730

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,594,906,730,442, is 2.

Now, the common factors can be found like this.

694:2x 347

594:2x 3x 3x 3x 11

906:2x 3x 151

730:2x 5x 73

442:2x 13x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 120508933390560/(2x24)

LCM = 120508933390560/48

LCM = 2510602778970

Thus, we can understand that the LCM of 694,594,906,730,442 is 2510602778970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 594, 906, 730, 442

1. What is the LCM of 694, 594, 906, 730, 442?

Answer: LCM of 694, 594, 906, 730, 442 is 2510602778970.

2. How to calculate the LCM of 694, 594, 906, 730, 442?

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 694, 594, 906, 730, 442.

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}.