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LCM of 502, 149, 522, 158

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


Find the LCM of 502, 149, 522, 158 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 502, 149, 522, 158. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,149,522,158

Given numbers are 502,149,522,158

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

The LCM of 502,149,522,158 is 1542259962.

Find LCM of 502,149,522,158 with Prime Factorization


2 502, 149, 522, 158
251, 149, 261, 79

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

2 x 251 x 149 x 261 x 79 = 1542259962

Therefore, the lowest common multiple of 502,149,522,158 is 1542259962.

LCM Formula to Find Lowest Common Multiple of 502,149,522,158

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.

502 x 149 x 522 x 158 = 6169039848

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.

502 : 1, 2, 251, 502

149 : 1, 149

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

158 : 1, 2, 79, 158

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,149,522,158, is 1.

Now, the common factors can be found like this.

502:2x 251

149:149

522:2x 3x 3x 29

158:2x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6169039848/(1x4)

LCM = 6169039848/4

LCM = 1542259962

Thus, we can understand that the LCM of 502,149,522,158 is 1542259962.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 149, 522, 158

1. What is the LCM of 502, 149, 522, 158?

Answer: LCM of 502, 149, 522, 158 is 1542259962.

2. How to calculate the LCM of 502, 149, 522, 158?

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 502, 149, 522, 158.

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}.