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LCM of 452, 188, 260, 507, 670

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


Find the LCM of 452, 188, 260, 507, 670 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 452, 188, 260, 507, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,188,260,507,670

Given numbers are 452,188,260,507,670

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

The LCM of 452,188,260,507,670 is 3608187180.

Find LCM of 452,188,260,507,670 with Prime Factorization


2 452, 188, 260, 507, 670
2 226, 94, 130, 507, 335
5 113, 47, 65, 507, 335
13 113, 47, 13, 507, 67
113, 47, 1, 39, 67

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

2 x 2 x 5 x 13 x 113 x 47 x 1 x 39 x 67 = 3608187180

Therefore, the lowest common multiple of 452,188,260,507,670 is 3608187180.

LCM Formula to Find Lowest Common Multiple of 452,188,260,507,670

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.

452 x 188 x 260 x 507 x 670 = 7505029334400

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.

452 : 1, 2, 4, 113, 226, 452

188 : 1, 2, 4, 47, 94, 188

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

507 : 1, 3, 13, 39, 169, 507

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,188,260,507,670, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

188:2x 2x 47

260:2x 2x 5x 13

507:3x 13x 13

670:2x 5x 67

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 5x 13 = 2080

Therefore, the value for common factors is 2080.

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 = 7505029334400/(1x2080)

LCM = 7505029334400/2080

LCM = 3608187180

Thus, we can understand that the LCM of 452,188,260,507,670 is 3608187180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 188, 260, 507, 670

1. What is the LCM of 452, 188, 260, 507, 670?

Answer: LCM of 452, 188, 260, 507, 670 is 3608187180.

2. How to calculate the LCM of 452, 188, 260, 507, 670?

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 452, 188, 260, 507, 670.

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}.