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LCM of 555, 155, 759, 123, 386

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


Find the LCM of 555, 155, 759, 123, 386 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 555, 155, 759, 123, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 555,155,759,123,386

Given numbers are 555,155,759,123,386

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

The LCM of 555,155,759,123,386 is 68888441490.

Find LCM of 555,155,759,123,386 with Prime Factorization


3 555, 155, 759, 123, 386
5 185, 155, 253, 41, 386
37, 31, 253, 41, 386

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

3 x 5 x 37 x 31 x 253 x 41 x 386 = 68888441490

Therefore, the lowest common multiple of 555,155,759,123,386 is 68888441490.

LCM Formula to Find Lowest Common Multiple of 555,155,759,123,386

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.

555 x 155 x 759 x 123 x 386 = 3099979867050

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.

555 : 1, 3, 5, 15, 37, 111, 185, 555

155 : 1, 5, 31, 155

759 : 1, 3, 11, 23, 33, 69, 253, 759

123 : 1, 3, 41, 123

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,155,759,123,386, is 1.

Now, the common factors can be found like this.

555:3x 5x 37

155:5x 31

759:3x 11x 23

123:3x 41

386:2x 193

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 3099979867050/(1x45)

LCM = 3099979867050/45

LCM = 68888441490

Thus, we can understand that the LCM of 555,155,759,123,386 is 68888441490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 555, 155, 759, 123, 386

1. What is the LCM of 555, 155, 759, 123, 386?

Answer: LCM of 555, 155, 759, 123, 386 is 68888441490.

2. How to calculate the LCM of 555, 155, 759, 123, 386?

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 555, 155, 759, 123, 386.

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}.