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LCM of 290, 920, 644, 452

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


Find the LCM of 290, 920, 644, 452 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 290, 920, 644, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 290,920,644,452

Given numbers are 290,920,644,452

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

The LCM of 290,920,644,452 is 21103880.

Find LCM of 290,920,644,452 with Prime Factorization


2 290, 920, 644, 452
2 145, 460, 322, 226
5 145, 230, 161, 113
23 29, 46, 161, 113
29, 2, 7, 113

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

2 x 2 x 5 x 23 x 29 x 2 x 7 x 113 = 21103880

Therefore, the lowest common multiple of 290,920,644,452 is 21103880.

LCM Formula to Find Lowest Common Multiple of 290,920,644,452

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.

290 x 920 x 644 x 452 = 77662278400

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,920,644,452, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

920:2x 2x 2x 5x 23

644:2x 2x 7x 23

452:2x 2x 113

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 5x 23 = 1840

Therefore, the value for common factors is 1840.

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 = 77662278400/(2x1840)

LCM = 77662278400/3680

LCM = 21103880

Thus, we can understand that the LCM of 290,920,644,452 is 21103880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 290, 920, 644, 452

1. What is the LCM of 290, 920, 644, 452?

Answer: LCM of 290, 920, 644, 452 is 21103880.

2. How to calculate the LCM of 290, 920, 644, 452?

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 290, 920, 644, 452.

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}.