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LCM of 877, 100, 180, 490, 525

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


Find the LCM of 877, 100, 180, 490, 525 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 877, 100, 180, 490, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,100,180,490,525

Given numbers are 877,100,180,490,525

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

The LCM of 877,100,180,490,525 is 38675700.

Find LCM of 877,100,180,490,525 with Prime Factorization


2 877, 100, 180, 490, 525
2 877, 50, 90, 245, 525
3 877, 25, 45, 245, 525
5 877, 25, 15, 245, 175
5 877, 5, 3, 49, 35
7 877, 1, 3, 49, 7
877, 1, 3, 1, 7

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

2 x 2 x 3 x 5 x 5 x 7 x 877 x 1 x 3 x 1 x 7 = 38675700

Therefore, the lowest common multiple of 877,100,180,490,525 is 38675700.

LCM Formula to Find Lowest Common Multiple of 877,100,180,490,525

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.

877 x 100 x 180 x 490 x 525 = 4060948500000

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.

877 : 1, 877

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,100,180,490,525, is 1.

Now, the common factors can be found like this.

877:877

100:2x 2x 5x 5

180:2x 2x 3x 3x 5

490:2x 5x 7x 7

525:3x 5x 5x 7

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 5x 5x 5x 5x 7 = 105000

Therefore, the value for common factors is 105000.

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 = 4060948500000/(1x105000)

LCM = 4060948500000/105000

LCM = 38675700

Thus, we can understand that the LCM of 877,100,180,490,525 is 38675700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 100, 180, 490, 525

1. What is the LCM of 877, 100, 180, 490, 525?

Answer: LCM of 877, 100, 180, 490, 525 is 38675700.

2. How to calculate the LCM of 877, 100, 180, 490, 525?

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 877, 100, 180, 490, 525.

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}.