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LCM of 705, 374, 767, 224

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


Find the LCM of 705, 374, 767, 224 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 705, 374, 767, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,374,767,224

Given numbers are 705,374,767,224

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

The LCM of 705,374,767,224 is 22650307680.

Find LCM of 705,374,767,224 with Prime Factorization


2 705, 374, 767, 224
705, 187, 767, 112

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

2 x 705 x 187 x 767 x 112 = 22650307680

Therefore, the lowest common multiple of 705,374,767,224 is 22650307680.

LCM Formula to Find Lowest Common Multiple of 705,374,767,224

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.

705 x 374 x 767 x 224 = 45300615360

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

374 : 1, 2, 11, 17, 22, 34, 187, 374

767 : 1, 13, 59, 767

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,374,767,224, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

374:2x 11x 17

767:13x 59

224:2x 2x 2x 2x 2x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 45300615360/(1x2)

LCM = 45300615360/2

LCM = 22650307680

Thus, we can understand that the LCM of 705,374,767,224 is 22650307680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 374, 767, 224

1. What is the LCM of 705, 374, 767, 224?

Answer: LCM of 705, 374, 767, 224 is 22650307680.

2. How to calculate the LCM of 705, 374, 767, 224?

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 705, 374, 767, 224.

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}.