Given numbers are 900,970,276,996,829

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

The LCM of 900,970,276,996,829 is 138157575300.

Find LCM of 900,970,276,996,829 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 97 x 23 x 83 x 829 = 138157575300

Therefore, the lowest common multiple of 900,970,276,996,829 is 138157575300.

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.

900 x 970 x 276 x 996 x 829 = 198946908432000

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.

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,970,276,996,829, is 1.

Now, the common factors can be found like this.

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

970:2x 5x 97

276:2x 2x 3x 23

996:2x 2x 3x 83

829:829

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 5 = 1440

Therefore, the value for common factors is 1440.

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 = 198946908432000/(1x1440)

LCM = 198946908432000/1440

LCM = 138157575300

Thus, we can understand that the LCM of 900,970,276,996,829 is 138157575300.

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

• LCM of 730, 731, 585, 341, 642
• LCM of 446, 376, 976, 786, 137
• LCM of 379, 433, 581, 102, 847
• LCM of 848, 571, 516, 463, 666
• LCM of 164, 333, 424, 189, 848

1. What is the LCM of 900, 970, 276, 996, 829?

Answer: LCM of 900, 970, 276, 996, 829 is 138157575300.

2. How to calculate the LCM of 900, 970, 276, 996, 829?

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 900, 970, 276, 996, 829.

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}.