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LCM of 655, 354, 832, 468

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


Find the LCM of 655, 354, 832, 468 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 655, 354, 832, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 655,354,832,468

Given numbers are 655,354,832,468

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

The LCM of 655,354,832,468 is 289373760.

Find LCM of 655,354,832,468 with Prime Factorization


2 655, 354, 832, 468
2 655, 177, 416, 234
3 655, 177, 208, 117
13 655, 59, 208, 39
655, 59, 16, 3

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

2 x 2 x 3 x 13 x 655 x 59 x 16 x 3 = 289373760

Therefore, the lowest common multiple of 655,354,832,468 is 289373760.

LCM Formula to Find Lowest Common Multiple of 655,354,832,468

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.

655 x 354 x 832 x 468 = 90284613120

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.

655 : 1, 5, 131, 655

354 : 1, 2, 3, 6, 59, 118, 177, 354

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,354,832,468, is 1.

Now, the common factors can be found like this.

655:5x 131

354:2x 3x 59

832:2x 2x 2x 2x 2x 2x 13

468:2x 2x 3x 3x 13

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 13 = 312

Therefore, the value for common factors is 312.

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 = 90284613120/(1x312)

LCM = 90284613120/312

LCM = 289373760

Thus, we can understand that the LCM of 655,354,832,468 is 289373760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 655, 354, 832, 468

1. What is the LCM of 655, 354, 832, 468?

Answer: LCM of 655, 354, 832, 468 is 289373760.

2. How to calculate the LCM of 655, 354, 832, 468?

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 655, 354, 832, 468.

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}.