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LCM of 442, 694, 646, 646, 972

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


Find the LCM of 442, 694, 646, 646, 972 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 442, 694, 646, 646, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,694,646,646,972

Given numbers are 442,694,646,646,972

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

The LCM of 442,694,646,646,972 is 1416255516.

Find LCM of 442,694,646,646,972 with Prime Factorization


2 442, 694, 646, 646, 972
17 221, 347, 323, 323, 486
19 13, 347, 19, 19, 486
13, 347, 1, 1, 486

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

2 x 17 x 19 x 13 x 347 x 1 x 1 x 486 = 1416255516

Therefore, the lowest common multiple of 442,694,646,646,972 is 1416255516.

LCM Formula to Find Lowest Common Multiple of 442,694,646,646,972

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.

442 x 694 x 646 x 646 x 972 = 124426544613696

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.

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

694 : 1, 2, 347, 694

646 : 1, 2, 17, 19, 34, 38, 323, 646

646 : 1, 2, 17, 19, 34, 38, 323, 646

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,694,646,646,972, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

694:2x 347

646:2x 17x 19

646:2x 17x 19

972:2x 2x 3x 3x 3x 3x 3

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 17x 17x 19 = 43928

Therefore, the value for common factors is 43928.

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 = 124426544613696/(2x43928)

LCM = 124426544613696/87856

LCM = 1416255516

Thus, we can understand that the LCM of 442,694,646,646,972 is 1416255516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 694, 646, 646, 972

1. What is the LCM of 442, 694, 646, 646, 972?

Answer: LCM of 442, 694, 646, 646, 972 is 1416255516.

2. How to calculate the LCM of 442, 694, 646, 646, 972?

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 442, 694, 646, 646, 972.

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}.