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LCM of 553, 196, 199, 696

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


Find the LCM of 553, 196, 199, 696 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 553, 196, 199, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,196,199,696

Given numbers are 553,196,199,696

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

The LCM of 553,196,199,696 is 536148984.

Find LCM of 553,196,199,696 with Prime Factorization


2 553, 196, 199, 696
2 553, 98, 199, 348
7 553, 49, 199, 174
79, 7, 199, 174

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

2 x 2 x 7 x 79 x 7 x 199 x 174 = 536148984

Therefore, the lowest common multiple of 553,196,199,696 is 536148984.

LCM Formula to Find Lowest Common Multiple of 553,196,199,696

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.

553 x 196 x 199 x 696 = 15012171552

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.

553 : 1, 7, 79, 553

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

199 : 1, 199

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,196,199,696, is 1.

Now, the common factors can be found like this.

553:7x 79

196:2x 2x 7x 7

199:199

696:2x 2x 2x 3x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 15012171552/(1x28)

LCM = 15012171552/28

LCM = 536148984

Thus, we can understand that the LCM of 553,196,199,696 is 536148984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 196, 199, 696

1. What is the LCM of 553, 196, 199, 696?

Answer: LCM of 553, 196, 199, 696 is 536148984.

2. How to calculate the LCM of 553, 196, 199, 696?

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 553, 196, 199, 696.

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}.