Given numbers are 252,326,536,920,947

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

The LCM of 252,326,536,920,947 is 599433158520.

Find LCM of 252,326,536,920,947 with Prime Factorization

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

2 x 2 x 2 x 63 x 163 x 67 x 115 x 947 = 599433158520

Therefore, the lowest common multiple of 252,326,536,920,947 is 599433158520.

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.

252 x 326 x 536 x 920 x 947 = 38363722145280

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

326 : 1, 2, 163, 326

536 : 1, 2, 4, 8, 67, 134, 268, 536

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

947 : 1, 947

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,326,536,920,947, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

326:2x 163

536:2x 2x 2x 67

920:2x 2x 2x 5x 23

947:947

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

2x 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 38363722145280/(1x64)

LCM = 38363722145280/64

LCM = 599433158520

Thus, we can understand that the LCM of 252,326,536,920,947 is 599433158520.

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

• LCM of 414, 438, 234, 593, 364
• LCM of 796, 521, 581, 989, 480
• LCM of 691, 995, 343, 200, 825
• LCM of 844, 798, 518, 183, 743
• LCM of 876, 491, 192, 890, 864

1. What is the LCM of 252, 326, 536, 920, 947?

Answer: LCM of 252, 326, 536, 920, 947 is 599433158520.

2. How to calculate the LCM of 252, 326, 536, 920, 947?

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 252, 326, 536, 920, 947.

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}.