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LCM of 452, 869, 588, 824, 584

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


Find the LCM of 452, 869, 588, 824, 584 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 452, 869, 588, 824, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,869,588,824,584

Given numbers are 452,869,588,824,584

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

The LCM of 452,869,588,824,584 is 868291653768.

Find LCM of 452,869,588,824,584 with Prime Factorization


2 452, 869, 588, 824, 584
2 226, 869, 294, 412, 292
2 113, 869, 147, 206, 146
113, 869, 147, 103, 73

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

2 x 2 x 2 x 113 x 869 x 147 x 103 x 73 = 868291653768

Therefore, the lowest common multiple of 452,869,588,824,584 is 868291653768.

LCM Formula to Find Lowest Common Multiple of 452,869,588,824,584

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.

452 x 869 x 588 x 824 x 584 = 111141331682304

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.

452 : 1, 2, 4, 113, 226, 452

869 : 1, 11, 79, 869

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

824 : 1, 2, 4, 8, 103, 206, 412, 824

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,869,588,824,584, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

869:11x 79

588:2x 2x 3x 7x 7

824:2x 2x 2x 103

584:2x 2x 2x 73

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 111141331682304/(1x128)

LCM = 111141331682304/128

LCM = 868291653768

Thus, we can understand that the LCM of 452,869,588,824,584 is 868291653768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 869, 588, 824, 584

1. What is the LCM of 452, 869, 588, 824, 584?

Answer: LCM of 452, 869, 588, 824, 584 is 868291653768.

2. How to calculate the LCM of 452, 869, 588, 824, 584?

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 452, 869, 588, 824, 584.

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}.