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LCM of 352, 654, 107, 501, 128

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


Find the LCM of 352, 654, 107, 501, 128 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, 654, 107, 501, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,654,107,501,128

Given numbers are 352,654,107,501,128

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

The LCM of 352,654,107,501,128 is 8227173504.

Find LCM of 352,654,107,501,128 with Prime Factorization


2 352, 654, 107, 501, 128
2 176, 327, 107, 501, 64
2 88, 327, 107, 501, 32
2 44, 327, 107, 501, 16
2 22, 327, 107, 501, 8
3 11, 327, 107, 501, 4
11, 109, 107, 167, 4

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

2 x 2 x 2 x 2 x 2 x 3 x 11 x 109 x 107 x 167 x 4 = 8227173504

Therefore, the lowest common multiple of 352,654,107,501,128 is 8227173504.

LCM Formula to Find Lowest Common Multiple of 352,654,107,501,128

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 654 x 107 x 501 x 128 = 1579617312768

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

107 : 1, 107

501 : 1, 3, 167, 501

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,654,107,501,128, is 1.

Now, the common factors can be found like this.

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

654:2x 3x 109

107:107

501:3x 167

128:2x 2x 2x 2x 2x 2x 2

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 1579617312768/(1x192)

LCM = 1579617312768/192

LCM = 8227173504

Thus, we can understand that the LCM of 352,654,107,501,128 is 8227173504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 654, 107, 501, 128

1. What is the LCM of 352, 654, 107, 501, 128?

Answer: LCM of 352, 654, 107, 501, 128 is 8227173504.

2. How to calculate the LCM of 352, 654, 107, 501, 128?

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, 654, 107, 501, 128.

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}.