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LCM of 573, 740, 869, 989, 470

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


Find the LCM of 573, 740, 869, 989, 470 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 573, 740, 869, 989, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 573,740,869,989,470

Given numbers are 573,740,869,989,470

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

The LCM of 573,740,869,989,470 is 17127748122540.

Find LCM of 573,740,869,989,470 with Prime Factorization


2 573, 740, 869, 989, 470
5 573, 370, 869, 989, 235
573, 74, 869, 989, 47

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

2 x 5 x 573 x 74 x 869 x 989 x 47 = 17127748122540

Therefore, the lowest common multiple of 573,740,869,989,470 is 17127748122540.

LCM Formula to Find Lowest Common Multiple of 573,740,869,989,470

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.

573 x 740 x 869 x 989 x 470 = 171277481225400

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.

573 : 1, 3, 191, 573

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

869 : 1, 11, 79, 869

989 : 1, 23, 43, 989

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,740,869,989,470, is 1.

Now, the common factors can be found like this.

573:3x 191

740:2x 2x 5x 37

869:11x 79

989:23x 43

470:2x 5x 47

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 171277481225400/(1x10)

LCM = 171277481225400/10

LCM = 17127748122540

Thus, we can understand that the LCM of 573,740,869,989,470 is 17127748122540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 573, 740, 869, 989, 470

1. What is the LCM of 573, 740, 869, 989, 470?

Answer: LCM of 573, 740, 869, 989, 470 is 17127748122540.

2. How to calculate the LCM of 573, 740, 869, 989, 470?

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 573, 740, 869, 989, 470.

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}.