Given numbers are 558,492,756,564,354

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

The LCM of 558,492,756,564,354 is 2664509148.

Find LCM of 558,492,756,564,354 with Prime Factorization

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

2 x 2 x 3 x 3 x 31 x 41 x 21 x 47 x 59 = 2664509148

Therefore, the lowest common multiple of 558,492,756,564,354 is 2664509148.

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.

558 x 492 x 756 x 564 x 354 = 41438446269696

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

354 : 1, 2, 3, 6, 59, 118, 177, 354

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,492,756,564,354, is 6.

Now, the common factors can be found like this.

558:2x 3x 3x 31

492:2x 2x 3x 41

756:2x 2x 3x 3x 3x 7

564:2x 2x 3x 47

354:2x 3x 59

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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 41438446269696/(6x2592)

LCM = 41438446269696/15552

LCM = 2664509148

Thus, we can understand that the LCM of 558,492,756,564,354 is 2664509148.

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

• LCM of 229, 516, 151, 982, 282
• LCM of 728, 147, 971, 274, 850
• LCM of 994, 947, 214, 183, 230
• LCM of 480, 920, 928, 246, 793
• LCM of 426, 596, 184, 732, 310

1. What is the LCM of 558, 492, 756, 564, 354?

Answer: LCM of 558, 492, 756, 564, 354 is 2664509148.

2. How to calculate the LCM of 558, 492, 756, 564, 354?

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 558, 492, 756, 564, 354.

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}.