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LCM of 730, 645, 867, 910, 602

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


Find the LCM of 730, 645, 867, 910, 602 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 730, 645, 867, 910, 602. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,645,867,910,602

Given numbers are 730,645,867,910,602

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

The LCM of 730,645,867,910,602 is 2476576830.

Find LCM of 730,645,867,910,602 with Prime Factorization


2 730, 645, 867, 910, 602
3 365, 645, 867, 455, 301
5 365, 215, 289, 455, 301
7 73, 43, 289, 91, 301
43 73, 43, 289, 13, 43
73, 1, 289, 13, 1

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

2 x 3 x 5 x 7 x 43 x 73 x 1 x 289 x 13 x 1 = 2476576830

Therefore, the lowest common multiple of 730,645,867,910,602 is 2476576830.

LCM Formula to Find Lowest Common Multiple of 730,645,867,910,602

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.

730 x 645 x 867 x 910 x 602 = 223634887749000

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.

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

645 : 1, 3, 5, 15, 43, 129, 215, 645

867 : 1, 3, 17, 51, 289, 867

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

602 : 1, 2, 7, 14, 43, 86, 301, 602

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,645,867,910,602, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

645:3x 5x 43

867:3x 17x 17

910:2x 5x 7x 13

602:2x 7x 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 3x 5x 5x 7x 43 = 90300

Therefore, the value for common factors is 90300.

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 = 223634887749000/(1x90300)

LCM = 223634887749000/90300

LCM = 2476576830

Thus, we can understand that the LCM of 730,645,867,910,602 is 2476576830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 645, 867, 910, 602

1. What is the LCM of 730, 645, 867, 910, 602?

Answer: LCM of 730, 645, 867, 910, 602 is 2476576830.

2. How to calculate the LCM of 730, 645, 867, 910, 602?

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 730, 645, 867, 910, 602.

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}.