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LCM of 949, 623, 689, 499

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


Find the LCM of 949, 623, 689, 499 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 949, 623, 689, 499. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,623,689,499

Given numbers are 949,623,689,499

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

The LCM of 949,623,689,499 is 15636180469.

Find LCM of 949,623,689,499 with Prime Factorization


13 949, 623, 689, 499
73, 623, 53, 499

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

13 x 73 x 623 x 53 x 499 = 15636180469

Therefore, the lowest common multiple of 949,623,689,499 is 15636180469.

LCM Formula to Find Lowest Common Multiple of 949,623,689,499

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.

949 x 623 x 689 x 499 = 203270346097

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.

949 : 1, 13, 73, 949

623 : 1, 7, 89, 623

689 : 1, 13, 53, 689

499 : 1, 499

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,623,689,499, is 1.

Now, the common factors can be found like this.

949:13x 73

623:7x 89

689:13x 53

499:499

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

13 = 13

Therefore, the value for common factors is 13.

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 = 203270346097/(1x13)

LCM = 203270346097/13

LCM = 15636180469

Thus, we can understand that the LCM of 949,623,689,499 is 15636180469.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 623, 689, 499

1. What is the LCM of 949, 623, 689, 499?

Answer: LCM of 949, 623, 689, 499 is 15636180469.

2. How to calculate the LCM of 949, 623, 689, 499?

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 949, 623, 689, 499.

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}.