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LCM of 474, 899, 697, 920

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


Find the LCM of 474, 899, 697, 920 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 474, 899, 697, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,899,697,920

Given numbers are 474,899,697,920

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

The LCM of 474,899,697,920 is 136624518120.

Find LCM of 474,899,697,920 with Prime Factorization


2 474, 899, 697, 920
237, 899, 697, 460

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

2 x 237 x 899 x 697 x 460 = 136624518120

Therefore, the lowest common multiple of 474,899,697,920 is 136624518120.

LCM Formula to Find Lowest Common Multiple of 474,899,697,920

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.

474 x 899 x 697 x 920 = 273249036240

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.

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

899 : 1, 29, 31, 899

697 : 1, 17, 41, 697

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,899,697,920, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

899:29x 31

697:17x 41

920:2x 2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 273249036240/(1x2)

LCM = 273249036240/2

LCM = 136624518120

Thus, we can understand that the LCM of 474,899,697,920 is 136624518120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 899, 697, 920

1. What is the LCM of 474, 899, 697, 920?

Answer: LCM of 474, 899, 697, 920 is 136624518120.

2. How to calculate the LCM of 474, 899, 697, 920?

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 474, 899, 697, 920.

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}.