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LCM of 438, 474, 516, 464

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


Find the LCM of 438, 474, 516, 464 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 438, 474, 516, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,474,516,464

Given numbers are 438,474,516,464

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

The LCM of 438,474,516,464 is 345189552.

Find LCM of 438,474,516,464 with Prime Factorization


2 438, 474, 516, 464
2 219, 237, 258, 232
3 219, 237, 129, 116
73, 79, 43, 116

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

2 x 2 x 3 x 73 x 79 x 43 x 116 = 345189552

Therefore, the lowest common multiple of 438,474,516,464 is 345189552.

LCM Formula to Find Lowest Common Multiple of 438,474,516,464

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.

438 x 474 x 516 x 464 = 49707295488

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

474 : 1, 2, 3, 6, 79, 158, 237, 474

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,474,516,464, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

474:2x 3x 79

516:2x 2x 3x 43

464:2x 2x 2x 2x 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 3 = 72

Therefore, the value for common factors is 72.

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 = 49707295488/(2x72)

LCM = 49707295488/144

LCM = 345189552

Thus, we can understand that the LCM of 438,474,516,464 is 345189552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 474, 516, 464

1. What is the LCM of 438, 474, 516, 464?

Answer: LCM of 438, 474, 516, 464 is 345189552.

2. How to calculate the LCM of 438, 474, 516, 464?

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 438, 474, 516, 464.

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}.