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LCM of 358, 611, 736, 196, 719

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


Find the LCM of 358, 611, 736, 196, 719 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 358, 611, 736, 196, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,611,736,196,719

Given numbers are 358,611,736,196,719

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

The LCM of 358,611,736,196,719 is 2835939919904.

Find LCM of 358,611,736,196,719 with Prime Factorization


2 358, 611, 736, 196, 719
2 179, 611, 368, 98, 719
179, 611, 184, 49, 719

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

2 x 2 x 179 x 611 x 184 x 49 x 719 = 2835939919904

Therefore, the lowest common multiple of 358,611,736,196,719 is 2835939919904.

LCM Formula to Find Lowest Common Multiple of 358,611,736,196,719

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.

358 x 611 x 736 x 196 x 719 = 22687519359232

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.

358 : 1, 2, 179, 358

611 : 1, 13, 47, 611

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,611,736,196,719, is 1.

Now, the common factors can be found like this.

358:2x 179

611:13x 47

736:2x 2x 2x 2x 2x 23

196:2x 2x 7x 7

719:719

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 2 = 8

Therefore, the value for common factors is 8.

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 = 22687519359232/(1x8)

LCM = 22687519359232/8

LCM = 2835939919904

Thus, we can understand that the LCM of 358,611,736,196,719 is 2835939919904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 611, 736, 196, 719

1. What is the LCM of 358, 611, 736, 196, 719?

Answer: LCM of 358, 611, 736, 196, 719 is 2835939919904.

2. How to calculate the LCM of 358, 611, 736, 196, 719?

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 358, 611, 736, 196, 719.

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}.