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LCM of 524, 415, 900, 692

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


Find the LCM of 524, 415, 900, 692 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 524, 415, 900, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,415,900,692

Given numbers are 524,415,900,692

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

The LCM of 524,415,900,692 is 1692926100.

Find LCM of 524,415,900,692 with Prime Factorization


2 524, 415, 900, 692
2 262, 415, 450, 346
5 131, 415, 225, 173
131, 83, 45, 173

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

2 x 2 x 5 x 131 x 83 x 45 x 173 = 1692926100

Therefore, the lowest common multiple of 524,415,900,692 is 1692926100.

LCM Formula to Find Lowest Common Multiple of 524,415,900,692

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.

524 x 415 x 900 x 692 = 135434088000

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.

524 : 1, 2, 4, 131, 262, 524

415 : 1, 5, 83, 415

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,415,900,692, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

415:5x 83

900:2x 2x 3x 3x 5x 5

692:2x 2x 173

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 5 = 80

Therefore, the value for common factors is 80.

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 = 135434088000/(1x80)

LCM = 135434088000/80

LCM = 1692926100

Thus, we can understand that the LCM of 524,415,900,692 is 1692926100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 415, 900, 692

1. What is the LCM of 524, 415, 900, 692?

Answer: LCM of 524, 415, 900, 692 is 1692926100.

2. How to calculate the LCM of 524, 415, 900, 692?

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 524, 415, 900, 692.

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}.