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LCM of 501, 551, 199, 778, 987

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


Find the LCM of 501, 551, 199, 778, 987 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 501, 551, 199, 778, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 501,551,199,778,987

Given numbers are 501,551,199,778,987

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

The LCM of 501,551,199,778,987 is 14061054646338.

Find LCM of 501,551,199,778,987 with Prime Factorization


3 501, 551, 199, 778, 987
167, 551, 199, 778, 329

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

3 x 167 x 551 x 199 x 778 x 329 = 14061054646338

Therefore, the lowest common multiple of 501,551,199,778,987 is 14061054646338.

LCM Formula to Find Lowest Common Multiple of 501,551,199,778,987

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.

501 x 551 x 199 x 778 x 987 = 42183163939014

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.

501 : 1, 3, 167, 501

551 : 1, 19, 29, 551

199 : 1, 199

778 : 1, 2, 389, 778

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,551,199,778,987, is 1.

Now, the common factors can be found like this.

501:3x 167

551:19x 29

199:199

778:2x 389

987:3x 7x 47

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

3 = 3

Therefore, the value for common factors is 3.

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 = 42183163939014/(1x3)

LCM = 42183163939014/3

LCM = 14061054646338

Thus, we can understand that the LCM of 501,551,199,778,987 is 14061054646338.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 501, 551, 199, 778, 987

1. What is the LCM of 501, 551, 199, 778, 987?

Answer: LCM of 501, 551, 199, 778, 987 is 14061054646338.

2. How to calculate the LCM of 501, 551, 199, 778, 987?

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 501, 551, 199, 778, 987.

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}.