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LCM of 763, 164, 436, 501

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


Find the LCM of 763, 164, 436, 501 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 763, 164, 436, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,164,436,501

Given numbers are 763,164,436,501

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

The LCM of 763,164,436,501 is 62691132.

Find LCM of 763,164,436,501 with Prime Factorization


2 763, 164, 436, 501
2 763, 82, 218, 501
109 763, 41, 109, 501
7, 41, 1, 501

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

2 x 2 x 109 x 7 x 41 x 1 x 501 = 62691132

Therefore, the lowest common multiple of 763,164,436,501 is 62691132.

LCM Formula to Find Lowest Common Multiple of 763,164,436,501

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.

763 x 164 x 436 x 501 = 27333333552

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.

763 : 1, 7, 109, 763

164 : 1, 2, 4, 41, 82, 164

436 : 1, 2, 4, 109, 218, 436

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,164,436,501, is 1.

Now, the common factors can be found like this.

763:7x 109

164:2x 2x 41

436:2x 2x 109

501:3x 167

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 109 = 436

Therefore, the value for common factors is 436.

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 = 27333333552/(1x436)

LCM = 27333333552/436

LCM = 62691132

Thus, we can understand that the LCM of 763,164,436,501 is 62691132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 164, 436, 501

1. What is the LCM of 763, 164, 436, 501?

Answer: LCM of 763, 164, 436, 501 is 62691132.

2. How to calculate the LCM of 763, 164, 436, 501?

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 763, 164, 436, 501.

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}.