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LCM of 377, 543, 702, 299, 912

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


Find the LCM of 377, 543, 702, 299, 912 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, 543, 702, 299, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,543,702,299,912

Given numbers are 377,543,702,299,912

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

The LCM of 377,543,702,299,912 is 12882053808.

Find LCM of 377,543,702,299,912 with Prime Factorization


2 377, 543, 702, 299, 912
3 377, 543, 351, 299, 456
13 377, 181, 117, 299, 152
29, 181, 9, 23, 152

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

2 x 3 x 13 x 29 x 181 x 9 x 23 x 152 = 12882053808

Therefore, the lowest common multiple of 377,543,702,299,912 is 12882053808.

LCM Formula to Find Lowest Common Multiple of 377,543,702,299,912

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 543 x 702 x 299 x 912 = 39187207683936

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

543 : 1, 3, 181, 543

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

299 : 1, 13, 23, 299

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,543,702,299,912, is 1.

Now, the common factors can be found like this.

377:13x 29

543:3x 181

702:2x 3x 3x 3x 13

299:13x 23

912:2x 2x 2x 2x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 13x 13 = 3042

Therefore, the value for common factors is 3042.

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 = 39187207683936/(1x3042)

LCM = 39187207683936/3042

LCM = 12882053808

Thus, we can understand that the LCM of 377,543,702,299,912 is 12882053808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 543, 702, 299, 912

1. What is the LCM of 377, 543, 702, 299, 912?

Answer: LCM of 377, 543, 702, 299, 912 is 12882053808.

2. How to calculate the LCM of 377, 543, 702, 299, 912?

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, 543, 702, 299, 912.

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}.