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LCM of 702, 169, 377, 435, 360

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


Find the LCM of 702, 169, 377, 435, 360 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 702, 169, 377, 435, 360. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,169,377,435,360

Given numbers are 702,169,377,435,360

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

The LCM of 702,169,377,435,360 is 5293080.

Find LCM of 702,169,377,435,360 with Prime Factorization


2 702, 169, 377, 435, 360
3 351, 169, 377, 435, 180
3 117, 169, 377, 145, 60
5 39, 169, 377, 145, 20
13 39, 169, 377, 29, 4
29 3, 13, 29, 29, 4
3, 13, 1, 1, 4

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

2 x 3 x 3 x 5 x 13 x 29 x 3 x 13 x 1 x 1 x 4 = 5293080

Therefore, the lowest common multiple of 702,169,377,435,360 is 5293080.

LCM Formula to Find Lowest Common Multiple of 702,169,377,435,360

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.

702 x 169 x 377 x 435 x 360 = 7004173971600

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.

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

169 : 1, 13, 169

377 : 1, 13, 29, 377

435 : 1, 3, 5, 15, 29, 87, 145, 435

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,169,377,435,360, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

169:13x 13

377:13x 29

435:3x 5x 29

360:2x 2x 2x 3x 3x 5

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 3x 5x 13x 13x 29 = 1323270

Therefore, the value for common factors is 1323270.

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 = 7004173971600/(1x1323270)

LCM = 7004173971600/1323270

LCM = 5293080

Thus, we can understand that the LCM of 702,169,377,435,360 is 5293080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 169, 377, 435, 360

1. What is the LCM of 702, 169, 377, 435, 360?

Answer: LCM of 702, 169, 377, 435, 360 is 5293080.

2. How to calculate the LCM of 702, 169, 377, 435, 360?

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 702, 169, 377, 435, 360.

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}.