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LCM of 670, 402, 516, 414, 454

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


Find the LCM of 670, 402, 516, 414, 454 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 670, 402, 516, 414, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 670,402,516,414,454

Given numbers are 670,402,516,414,454

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

The LCM of 670,402,516,414,454 is 2707506180.

Find LCM of 670,402,516,414,454 with Prime Factorization


2 670, 402, 516, 414, 454
3 335, 201, 258, 207, 227
67 335, 67, 86, 69, 227
5, 1, 86, 69, 227

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

2 x 3 x 67 x 5 x 1 x 86 x 69 x 227 = 2707506180

Therefore, the lowest common multiple of 670,402,516,414,454 is 2707506180.

LCM Formula to Find Lowest Common Multiple of 670,402,516,414,454

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.

670 x 402 x 516 x 414 x 454 = 26122019624640

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.

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

454 : 1, 2, 227, 454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,402,516,414,454, is 2.

Now, the common factors can be found like this.

670:2x 5x 67

402:2x 3x 67

516:2x 2x 3x 43

414:2x 3x 3x 23

454:2x 227

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 3x 3x 67 = 4824

Therefore, the value for common factors is 4824.

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 = 26122019624640/(2x4824)

LCM = 26122019624640/9648

LCM = 2707506180

Thus, we can understand that the LCM of 670,402,516,414,454 is 2707506180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 670, 402, 516, 414, 454

1. What is the LCM of 670, 402, 516, 414, 454?

Answer: LCM of 670, 402, 516, 414, 454 is 2707506180.

2. How to calculate the LCM of 670, 402, 516, 414, 454?

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 670, 402, 516, 414, 454.

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}.