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LCM of 434, 456, 761, 798, 499

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


Find the LCM of 434, 456, 761, 798, 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 434, 456, 761, 798, 499. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 434,456,761,798,499

Given numbers are 434,456,761,798,499

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

The LCM of 434,456,761,798,499 is 37575933528.

Find LCM of 434,456,761,798,499 with Prime Factorization


2 434, 456, 761, 798, 499
3 217, 228, 761, 399, 499
7 217, 76, 761, 133, 499
19 31, 76, 761, 19, 499
31, 4, 761, 1, 499

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

2 x 3 x 7 x 19 x 31 x 4 x 761 x 1 x 499 = 37575933528

Therefore, the lowest common multiple of 434,456,761,798,499 is 37575933528.

LCM Formula to Find Lowest Common Multiple of 434,456,761,798,499

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.

434 x 456 x 761 x 798 x 499 = 59971189910688

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

761 : 1, 761

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

499 : 1, 499

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,456,761,798,499, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

456:2x 2x 2x 3x 19

761:761

798:2x 3x 7x 19

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.

2x 2x 3x 7x 19 = 1596

Therefore, the value for common factors is 1596.

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 = 59971189910688/(1x1596)

LCM = 59971189910688/1596

LCM = 37575933528

Thus, we can understand that the LCM of 434,456,761,798,499 is 37575933528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 434, 456, 761, 798, 499

1. What is the LCM of 434, 456, 761, 798, 499?

Answer: LCM of 434, 456, 761, 798, 499 is 37575933528.

2. How to calculate the LCM of 434, 456, 761, 798, 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 434, 456, 761, 798, 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}.