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LCM of 909, 748, 188, 192, 358

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


Find the LCM of 909, 748, 188, 192, 358 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 909, 748, 188, 192, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,748,188,192,358

Given numbers are 909,748,188,192,358

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

The LCM of 909,748,188,192,358 is 91524286656.

Find LCM of 909,748,188,192,358 with Prime Factorization


2 909, 748, 188, 192, 358
2 909, 374, 94, 96, 179
3 909, 187, 47, 48, 179
303, 187, 47, 16, 179

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

2 x 2 x 3 x 303 x 187 x 47 x 16 x 179 = 91524286656

Therefore, the lowest common multiple of 909,748,188,192,358 is 91524286656.

LCM Formula to Find Lowest Common Multiple of 909,748,188,192,358

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.

909 x 748 x 188 x 192 x 358 = 8786331518976

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.

909 : 1, 3, 9, 101, 303, 909

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

188 : 1, 2, 4, 47, 94, 188

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,748,188,192,358, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

748:2x 2x 11x 17

188:2x 2x 47

192:2x 2x 2x 2x 2x 2x 3

358:2x 179

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 2x 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 8786331518976/(1x96)

LCM = 8786331518976/96

LCM = 91524286656

Thus, we can understand that the LCM of 909,748,188,192,358 is 91524286656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 748, 188, 192, 358

1. What is the LCM of 909, 748, 188, 192, 358?

Answer: LCM of 909, 748, 188, 192, 358 is 91524286656.

2. How to calculate the LCM of 909, 748, 188, 192, 358?

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 909, 748, 188, 192, 358.

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}.