Given numbers are 987,165,189,501,958

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

The LCM of 987,165,189,501,958 is 78163560090.

Find LCM of 987,165,189,501,958 with Prime Factorization

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

3 x 7 x 47 x 55 x 9 x 167 x 958 = 78163560090

Therefore, the lowest common multiple of 987,165,189,501,958 is 78163560090.

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.

987 x 165 x 189 x 501 x 958 = 14772912857010

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.

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

165 : 1, 3, 5, 11, 15, 33, 55, 165

189 : 1, 3, 7, 9, 21, 27, 63, 189

501 : 1, 3, 167, 501

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,165,189,501,958, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

165:3x 5x 11

189:3x 3x 3x 7

501:3x 167

958:2x 479

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 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 14772912857010/(1x189)

LCM = 14772912857010/189

LCM = 78163560090

Thus, we can understand that the LCM of 987,165,189,501,958 is 78163560090.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 218, 670, 936, 620, 956
• LCM of 821, 623, 237, 472, 761
• LCM of 466, 919, 383, 928, 829
• LCM of 179, 635, 434, 584, 201
• LCM of 637, 432, 181, 806, 395

1. What is the LCM of 987, 165, 189, 501, 958?

Answer: LCM of 987, 165, 189, 501, 958 is 78163560090.

2. How to calculate the LCM of 987, 165, 189, 501, 958?

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 987, 165, 189, 501, 958.

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}.