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LCM of 302, 680, 766, 527, 432

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


Find the LCM of 302, 680, 766, 527, 432 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 302, 680, 766, 527, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,680,766,527,432

Given numbers are 302,680,766,527,432

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

The LCM of 302,680,766,527,432 is 65832460560.

Find LCM of 302,680,766,527,432 with Prime Factorization


2 302, 680, 766, 527, 432
2 151, 340, 383, 527, 216
2 151, 170, 383, 527, 108
17 151, 85, 383, 527, 54
151, 5, 383, 31, 54

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

2 x 2 x 2 x 17 x 151 x 5 x 383 x 31 x 54 = 65832460560

Therefore, the lowest common multiple of 302,680,766,527,432 is 65832460560.

LCM Formula to Find Lowest Common Multiple of 302,680,766,527,432

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.

302 x 680 x 766 x 527 x 432 = 35812858544640

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.

302 : 1, 2, 151, 302

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

766 : 1, 2, 383, 766

527 : 1, 17, 31, 527

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,680,766,527,432, is 1.

Now, the common factors can be found like this.

302:2x 151

680:2x 2x 2x 5x 17

766:2x 383

527:17x 31

432:2x 2x 2x 2x 3x 3x 3

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 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 35812858544640/(1x544)

LCM = 35812858544640/544

LCM = 65832460560

Thus, we can understand that the LCM of 302,680,766,527,432 is 65832460560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 680, 766, 527, 432

1. What is the LCM of 302, 680, 766, 527, 432?

Answer: LCM of 302, 680, 766, 527, 432 is 65832460560.

2. How to calculate the LCM of 302, 680, 766, 527, 432?

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 302, 680, 766, 527, 432.

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}.