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LCM of 236, 830, 505, 385, 704

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


Find the LCM of 236, 830, 505, 385, 704 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 236, 830, 505, 385, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,830,505,385,704

Given numbers are 236,830,505,385,704

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

The LCM of 236,830,505,385,704 is 12186870080.

Find LCM of 236,830,505,385,704 with Prime Factorization


2 236, 830, 505, 385, 704
2 118, 415, 505, 385, 352
5 59, 415, 505, 385, 176
11 59, 83, 101, 77, 176
59, 83, 101, 7, 16

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

2 x 2 x 5 x 11 x 59 x 83 x 101 x 7 x 16 = 12186870080

Therefore, the lowest common multiple of 236,830,505,385,704 is 12186870080.

LCM Formula to Find Lowest Common Multiple of 236,830,505,385,704

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.

236 x 830 x 505 x 385 x 704 = 26811114176000

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.

236 : 1, 2, 4, 59, 118, 236

830 : 1, 2, 5, 10, 83, 166, 415, 830

505 : 1, 5, 101, 505

385 : 1, 5, 7, 11, 35, 55, 77, 385

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,830,505,385,704, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

830:2x 5x 83

505:5x 101

385:5x 7x 11

704:2x 2x 2x 2x 2x 2x 11

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 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 26811114176000/(1x2200)

LCM = 26811114176000/2200

LCM = 12186870080

Thus, we can understand that the LCM of 236,830,505,385,704 is 12186870080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 830, 505, 385, 704

1. What is the LCM of 236, 830, 505, 385, 704?

Answer: LCM of 236, 830, 505, 385, 704 is 12186870080.

2. How to calculate the LCM of 236, 830, 505, 385, 704?

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 236, 830, 505, 385, 704.

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}.