Given numbers are 116,126,900,523,354

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

The LCM of 116,126,900,523,354 is 5637573900.

Find LCM of 116,126,900,523,354 with Prime Factorization

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

2 x 2 x 3 x 3 x 29 x 7 x 25 x 523 x 59 = 5637573900

Therefore, the lowest common multiple of 116,126,900,523,354 is 5637573900.

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.

116 x 126 x 900 x 523 x 354 = 2435431924800

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.

116 : 1, 2, 4, 29, 58, 116

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

523 : 1, 523

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,126,900,523,354, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

126:2x 3x 3x 7

900:2x 2x 3x 3x 5x 5

523:523

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 2435431924800/(1x432)

LCM = 2435431924800/432

LCM = 5637573900

Thus, we can understand that the LCM of 116,126,900,523,354 is 5637573900.

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

• LCM of 696, 203, 433, 743, 200
• LCM of 818, 932, 745, 592, 600
• LCM of 672, 776, 665, 657, 451
• LCM of 247, 661, 982, 450, 912
• LCM of 783, 955, 693, 199, 960

1. What is the LCM of 116, 126, 900, 523, 354?

Answer: LCM of 116, 126, 900, 523, 354 is 5637573900.

2. How to calculate the LCM of 116, 126, 900, 523, 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 116, 126, 900, 523, 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}.