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LCM of 603, 133, 622, 672, 952

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


Find the LCM of 603, 133, 622, 672, 952 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 603, 133, 622, 672, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 603,133,622,672,952

Given numbers are 603,133,622,672,952

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

The LCM of 603,133,622,672,952 is 13568387616.

Find LCM of 603,133,622,672,952 with Prime Factorization


2 603, 133, 622, 672, 952
2 603, 133, 311, 336, 476
2 603, 133, 311, 168, 238
3 603, 133, 311, 84, 119
7 201, 133, 311, 28, 119
201, 19, 311, 4, 17

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

2 x 2 x 2 x 3 x 7 x 201 x 19 x 311 x 4 x 17 = 13568387616

Therefore, the lowest common multiple of 603,133,622,672,952 is 13568387616.

LCM Formula to Find Lowest Common Multiple of 603,133,622,672,952

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.

603 x 133 x 622 x 672 x 952 = 31912847672832

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.

603 : 1, 3, 9, 67, 201, 603

133 : 1, 7, 19, 133

622 : 1, 2, 311, 622

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,133,622,672,952, is 1.

Now, the common factors can be found like this.

603:3x 3x 67

133:7x 19

622:2x 311

672:2x 2x 2x 2x 2x 3x 7

952:2x 2x 2x 7x 17

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 3x 7x 7 = 2352

Therefore, the value for common factors is 2352.

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 = 31912847672832/(1x2352)

LCM = 31912847672832/2352

LCM = 13568387616

Thus, we can understand that the LCM of 603,133,622,672,952 is 13568387616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 603, 133, 622, 672, 952

1. What is the LCM of 603, 133, 622, 672, 952?

Answer: LCM of 603, 133, 622, 672, 952 is 13568387616.

2. How to calculate the LCM of 603, 133, 622, 672, 952?

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 603, 133, 622, 672, 952.

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}.