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LCM of 520, 600, 501, 942

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


Find the LCM of 520, 600, 501, 942 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 520, 600, 501, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,600,501,942

Given numbers are 520,600,501,942

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

The LCM of 520,600,501,942 is 204508200.

Find LCM of 520,600,501,942 with Prime Factorization


2 520, 600, 501, 942
2 260, 300, 501, 471
2 130, 150, 501, 471
3 65, 75, 501, 471
5 65, 25, 167, 157
13, 5, 167, 157

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

2 x 2 x 2 x 3 x 5 x 13 x 5 x 167 x 157 = 204508200

Therefore, the lowest common multiple of 520,600,501,942 is 204508200.

LCM Formula to Find Lowest Common Multiple of 520,600,501,942

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.

520 x 600 x 501 x 942 = 147245904000

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

501 : 1, 3, 167, 501

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,600,501,942, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

600:2x 2x 2x 3x 5x 5

501:3x 167

942:2x 3x 157

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 147245904000/(1x720)

LCM = 147245904000/720

LCM = 204508200

Thus, we can understand that the LCM of 520,600,501,942 is 204508200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 600, 501, 942

1. What is the LCM of 520, 600, 501, 942?

Answer: LCM of 520, 600, 501, 942 is 204508200.

2. How to calculate the LCM of 520, 600, 501, 942?

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 520, 600, 501, 942.

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}.