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LCM of 464, 941, 260, 570

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


Find the LCM of 464, 941, 260, 570 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 464, 941, 260, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,941,260,570

Given numbers are 464,941,260,570

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

The LCM of 464,941,260,570 is 1617691920.

Find LCM of 464,941,260,570 with Prime Factorization


2 464, 941, 260, 570
2 232, 941, 130, 285
5 116, 941, 65, 285
116, 941, 13, 57

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

2 x 2 x 5 x 116 x 941 x 13 x 57 = 1617691920

Therefore, the lowest common multiple of 464,941,260,570 is 1617691920.

LCM Formula to Find Lowest Common Multiple of 464,941,260,570

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.

464 x 941 x 260 x 570 = 64707676800

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

941 : 1, 941

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,941,260,570, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

941:941

260:2x 2x 5x 13

570:2x 3x 5x 19

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 5 = 40

Therefore, the value for common factors is 40.

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 = 64707676800/(1x40)

LCM = 64707676800/40

LCM = 1617691920

Thus, we can understand that the LCM of 464,941,260,570 is 1617691920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 941, 260, 570

1. What is the LCM of 464, 941, 260, 570?

Answer: LCM of 464, 941, 260, 570 is 1617691920.

2. How to calculate the LCM of 464, 941, 260, 570?

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 464, 941, 260, 570.

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}.