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LCM of 524, 212, 689, 166

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


Find the LCM of 524, 212, 689, 166 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, 212, 689, 166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,212,689,166

Given numbers are 524,212,689,166

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

The LCM of 524,212,689,166 is 29965988.

Find LCM of 524,212,689,166 with Prime Factorization


2 524, 212, 689, 166
2 262, 106, 689, 83
53 131, 53, 689, 83
131, 1, 13, 83

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

2 x 2 x 53 x 131 x 1 x 13 x 83 = 29965988

Therefore, the lowest common multiple of 524,212,689,166 is 29965988.

LCM Formula to Find Lowest Common Multiple of 524,212,689,166

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 212 x 689 x 166 = 12705578912

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

212 : 1, 2, 4, 53, 106, 212

689 : 1, 13, 53, 689

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,212,689,166, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

212:2x 2x 53

689:13x 53

166:2x 83

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 53 = 424

Therefore, the value for common factors is 424.

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 = 12705578912/(1x424)

LCM = 12705578912/424

LCM = 29965988

Thus, we can understand that the LCM of 524,212,689,166 is 29965988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 212, 689, 166

1. What is the LCM of 524, 212, 689, 166?

Answer: LCM of 524, 212, 689, 166 is 29965988.

2. How to calculate the LCM of 524, 212, 689, 166?

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, 212, 689, 166.

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}.