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LCM of 602, 860, 641, 621, 696

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


Find the LCM of 602, 860, 641, 621, 696 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 602, 860, 641, 621, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 602,860,641,621,696

Given numbers are 602,860,641,621,696

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

The LCM of 602,860,641,621,696 is 138986978760.

Find LCM of 602,860,641,621,696 with Prime Factorization


2 602, 860, 641, 621, 696
2 301, 430, 641, 621, 348
3 301, 215, 641, 621, 174
43 301, 215, 641, 207, 58
7, 5, 641, 207, 58

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

2 x 2 x 3 x 43 x 7 x 5 x 641 x 207 x 58 = 138986978760

Therefore, the lowest common multiple of 602,860,641,621,696 is 138986978760.

LCM Formula to Find Lowest Common Multiple of 602,860,641,621,696

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.

602 x 860 x 641 x 621 x 696 = 143434562080320

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.

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

641 : 1, 641

621 : 1, 3, 9, 23, 27, 69, 207, 621

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,860,641,621,696, is 1.

Now, the common factors can be found like this.

602:2x 7x 43

860:2x 2x 5x 43

641:641

621:3x 3x 3x 23

696:2x 2x 2x 3x 29

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 43 = 1032

Therefore, the value for common factors is 1032.

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 = 143434562080320/(1x1032)

LCM = 143434562080320/1032

LCM = 138986978760

Thus, we can understand that the LCM of 602,860,641,621,696 is 138986978760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 602, 860, 641, 621, 696

1. What is the LCM of 602, 860, 641, 621, 696?

Answer: LCM of 602, 860, 641, 621, 696 is 138986978760.

2. How to calculate the LCM of 602, 860, 641, 621, 696?

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 602, 860, 641, 621, 696.

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}.