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LCM of 352, 101, 237, 606

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


Find the LCM of 352, 101, 237, 606 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, 101, 237, 606. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,101,237,606

Given numbers are 352,101,237,606

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

The LCM of 352,101,237,606 is 8425824.

Find LCM of 352,101,237,606 with Prime Factorization


2 352, 101, 237, 606
3 176, 101, 237, 303
101 176, 101, 79, 101
176, 1, 79, 1

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

2 x 3 x 101 x 176 x 1 x 79 x 1 = 8425824

Therefore, the lowest common multiple of 352,101,237,606 is 8425824.

LCM Formula to Find Lowest Common Multiple of 352,101,237,606

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 101 x 237 x 606 = 5106049344

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

101 : 1, 101

237 : 1, 3, 79, 237

606 : 1, 2, 3, 6, 101, 202, 303, 606

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,101,237,606, is 1.

Now, the common factors can be found like this.

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

101:101

237:3x 79

606:2x 3x 101

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

2x 3x 101 = 606

Therefore, the value for common factors is 606.

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 = 5106049344/(1x606)

LCM = 5106049344/606

LCM = 8425824

Thus, we can understand that the LCM of 352,101,237,606 is 8425824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 101, 237, 606

1. What is the LCM of 352, 101, 237, 606?

Answer: LCM of 352, 101, 237, 606 is 8425824.

2. How to calculate the LCM of 352, 101, 237, 606?

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, 101, 237, 606.

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}.