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LCM of 155, 242, 638, 677

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


Find the LCM of 155, 242, 638, 677 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 155, 242, 638, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 155,242,638,677

Given numbers are 155,242,638,677

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

The LCM of 155,242,638,677 is 736433830.

Find LCM of 155,242,638,677 with Prime Factorization


2 155, 242, 638, 677
11 155, 121, 319, 677
155, 11, 29, 677

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

2 x 11 x 155 x 11 x 29 x 677 = 736433830

Therefore, the lowest common multiple of 155,242,638,677 is 736433830.

LCM Formula to Find Lowest Common Multiple of 155,242,638,677

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.

155 x 242 x 638 x 677 = 16201544260

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.

155 : 1, 5, 31, 155

242 : 1, 2, 11, 22, 121, 242

638 : 1, 2, 11, 22, 29, 58, 319, 638

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,242,638,677, is 1.

Now, the common factors can be found like this.

155:5x 31

242:2x 11x 11

638:2x 11x 29

677:677

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 16201544260/(1x22)

LCM = 16201544260/22

LCM = 736433830

Thus, we can understand that the LCM of 155,242,638,677 is 736433830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 155, 242, 638, 677

1. What is the LCM of 155, 242, 638, 677?

Answer: LCM of 155, 242, 638, 677 is 736433830.

2. How to calculate the LCM of 155, 242, 638, 677?

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 155, 242, 638, 677.

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}.