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LCM of 406, 271, 776, 583, 354

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


Find the LCM of 406, 271, 776, 583, 354 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 406, 271, 776, 583, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,271,776,583,354

Given numbers are 406,271,776,583,354

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

The LCM of 406,271,776,583,354 is 4405232870808.

Find LCM of 406,271,776,583,354 with Prime Factorization


2 406, 271, 776, 583, 354
203, 271, 388, 583, 177

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

2 x 203 x 271 x 388 x 583 x 177 = 4405232870808

Therefore, the lowest common multiple of 406,271,776,583,354 is 4405232870808.

LCM Formula to Find Lowest Common Multiple of 406,271,776,583,354

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.

406 x 271 x 776 x 583 x 354 = 17620931483232

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

271 : 1, 271

776 : 1, 2, 4, 8, 97, 194, 388, 776

583 : 1, 11, 53, 583

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,271,776,583,354, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

271:271

776:2x 2x 2x 97

583:11x 53

354:2x 3x 59

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 = 17620931483232/(1x4)

LCM = 17620931483232/4

LCM = 4405232870808

Thus, we can understand that the LCM of 406,271,776,583,354 is 4405232870808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 271, 776, 583, 354

1. What is the LCM of 406, 271, 776, 583, 354?

Answer: LCM of 406, 271, 776, 583, 354 is 4405232870808.

2. How to calculate the LCM of 406, 271, 776, 583, 354?

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 406, 271, 776, 583, 354.

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}.