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LCM of 409, 654, 676, 850

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


Find the LCM of 409, 654, 676, 850 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 409, 654, 676, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,654,676,850

Given numbers are 409,654,676,850

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

The LCM of 409,654,676,850 is 38424363900.

Find LCM of 409,654,676,850 with Prime Factorization


2 409, 654, 676, 850
409, 327, 338, 425

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

2 x 409 x 327 x 338 x 425 = 38424363900

Therefore, the lowest common multiple of 409,654,676,850 is 38424363900.

LCM Formula to Find Lowest Common Multiple of 409,654,676,850

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.

409 x 654 x 676 x 850 = 153697455600

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.

409 : 1, 409

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,654,676,850, is 1.

Now, the common factors can be found like this.

409:409

654:2x 3x 109

676:2x 2x 13x 13

850:2x 5x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 153697455600/(1x4)

LCM = 153697455600/4

LCM = 38424363900

Thus, we can understand that the LCM of 409,654,676,850 is 38424363900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 654, 676, 850

1. What is the LCM of 409, 654, 676, 850?

Answer: LCM of 409, 654, 676, 850 is 38424363900.

2. How to calculate the LCM of 409, 654, 676, 850?

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 409, 654, 676, 850.

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}.