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LCM of 352, 526, 564, 212

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


Find the LCM of 352, 526, 564, 212 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 352, 526, 564, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,526,564,212

Given numbers are 352,526,564,212

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

The LCM of 352,526,564,212 is 691820448.

Find LCM of 352,526,564,212 with Prime Factorization


2 352, 526, 564, 212
2 176, 263, 282, 106
88, 263, 141, 53

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

2 x 2 x 88 x 263 x 141 x 53 = 691820448

Therefore, the lowest common multiple of 352,526,564,212 is 691820448.

LCM Formula to Find Lowest Common Multiple of 352,526,564,212

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.

352 x 526 x 564 x 212 = 22138254336

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

526 : 1, 2, 263, 526

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,526,564,212, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

526:2x 263

564:2x 2x 3x 47

212:2x 2x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 22138254336/(2x16)

LCM = 22138254336/32

LCM = 691820448

Thus, we can understand that the LCM of 352,526,564,212 is 691820448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 526, 564, 212

1. What is the LCM of 352, 526, 564, 212?

Answer: LCM of 352, 526, 564, 212 is 691820448.

2. How to calculate the LCM of 352, 526, 564, 212?

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 352, 526, 564, 212.

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}.