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LCM of 222, 649, 242, 669, 987

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


Find the LCM of 222, 649, 242, 669, 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 222, 649, 242, 669, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,649,242,669,987

Given numbers are 222,649,242,669,987

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

The LCM of 222,649,242,669,987 is 116276276886.

Find LCM of 222,649,242,669,987 with Prime Factorization


2 222, 649, 242, 669, 987
3 111, 649, 121, 669, 987
11 37, 649, 121, 223, 329
37, 59, 11, 223, 329

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

2 x 3 x 11 x 37 x 59 x 11 x 223 x 329 = 116276276886

Therefore, the lowest common multiple of 222,649,242,669,987 is 116276276886.

LCM Formula to Find Lowest Common Multiple of 222,649,242,669,987

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.

222 x 649 x 242 x 669 x 987 = 23022702823428

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

649 : 1, 11, 59, 649

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

669 : 1, 3, 223, 669

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 222,649,242,669,987, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

649:11x 59

242:2x 11x 11

669:3x 223

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.

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 23022702823428/(1x198)

LCM = 23022702823428/198

LCM = 116276276886

Thus, we can understand that the LCM of 222,649,242,669,987 is 116276276886.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 649, 242, 669, 987

1. What is the LCM of 222, 649, 242, 669, 987?

Answer: LCM of 222, 649, 242, 669, 987 is 116276276886.

2. How to calculate the LCM of 222, 649, 242, 669, 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 222, 649, 242, 669, 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}.