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LCM of 377, 138, 536, 909, 188

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


Find the LCM of 377, 138, 536, 909, 188 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 377, 138, 536, 909, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,138,536,909,188

Given numbers are 377,138,536,909,188

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

The LCM of 377,138,536,909,188 is 198561807288.

Find LCM of 377,138,536,909,188 with Prime Factorization


2 377, 138, 536, 909, 188
2 377, 69, 268, 909, 94
3 377, 69, 134, 909, 47
377, 23, 134, 303, 47

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

2 x 2 x 3 x 377 x 23 x 134 x 303 x 47 = 198561807288

Therefore, the lowest common multiple of 377,138,536,909,188 is 198561807288.

LCM Formula to Find Lowest Common Multiple of 377,138,536,909,188

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.

377 x 138 x 536 x 909 x 188 = 4765483374912

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.

377 : 1, 13, 29, 377

138 : 1, 2, 3, 6, 23, 46, 69, 138

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,138,536,909,188, is 1.

Now, the common factors can be found like this.

377:13x 29

138:2x 3x 23

536:2x 2x 2x 67

909:3x 3x 101

188:2x 2x 47

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4765483374912/(1x24)

LCM = 4765483374912/24

LCM = 198561807288

Thus, we can understand that the LCM of 377,138,536,909,188 is 198561807288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 138, 536, 909, 188

1. What is the LCM of 377, 138, 536, 909, 188?

Answer: LCM of 377, 138, 536, 909, 188 is 198561807288.

2. How to calculate the LCM of 377, 138, 536, 909, 188?

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 377, 138, 536, 909, 188.

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}.