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LCM of 702, 612, 282, 477, 190

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


Find the LCM of 702, 612, 282, 477, 190 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, 612, 282, 477, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,612,282,477,190

Given numbers are 702,612,282,477,190

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

The LCM of 702,612,282,477,190 is 5648242860.

Find LCM of 702,612,282,477,190 with Prime Factorization


2 702, 612, 282, 477, 190
3 351, 306, 141, 477, 95
3 117, 102, 47, 159, 95
39, 34, 47, 53, 95

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

2 x 3 x 3 x 39 x 34 x 47 x 53 x 95 = 5648242860

Therefore, the lowest common multiple of 702,612,282,477,190 is 5648242860.

LCM Formula to Find Lowest Common Multiple of 702,612,282,477,190

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 612 x 282 x 477 x 190 = 10980184119840

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

282 : 1, 2, 3, 6, 47, 94, 141, 282

477 : 1, 3, 9, 53, 159, 477

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,612,282,477,190, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

612:2x 2x 3x 3x 17

282:2x 3x 47

477:3x 3x 53

190:2x 5x 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 2x 2x 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 10980184119840/(1x1944)

LCM = 10980184119840/1944

LCM = 5648242860

Thus, we can understand that the LCM of 702,612,282,477,190 is 5648242860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 612, 282, 477, 190

1. What is the LCM of 702, 612, 282, 477, 190?

Answer: LCM of 702, 612, 282, 477, 190 is 5648242860.

2. How to calculate the LCM of 702, 612, 282, 477, 190?

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, 612, 282, 477, 190.

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}.