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LCM of 670, 419, 201, 496

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


Find the LCM of 670, 419, 201, 496 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, 419, 201, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 670,419,201,496

Given numbers are 670,419,201,496

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

The LCM of 670,419,201,496 is 208863120.

Find LCM of 670,419,201,496 with Prime Factorization


2 670, 419, 201, 496
67 335, 419, 201, 248
5, 419, 3, 248

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

2 x 67 x 5 x 419 x 3 x 248 = 208863120

Therefore, the lowest common multiple of 670,419,201,496 is 208863120.

LCM Formula to Find Lowest Common Multiple of 670,419,201,496

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 419 x 201 x 496 = 27987658080

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

419 : 1, 419

201 : 1, 3, 67, 201

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,419,201,496, is 1.

Now, the common factors can be found like this.

670:2x 5x 67

419:419

201:3x 67

496:2x 2x 2x 2x 31

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 27987658080/(1x134)

LCM = 27987658080/134

LCM = 208863120

Thus, we can understand that the LCM of 670,419,201,496 is 208863120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 670, 419, 201, 496

1. What is the LCM of 670, 419, 201, 496?

Answer: LCM of 670, 419, 201, 496 is 208863120.

2. How to calculate the LCM of 670, 419, 201, 496?

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, 419, 201, 496.

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}.