Given numbers are 742,583,331,976

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

The LCM of 742,583,331,976 is 1318391536.

Find LCM of 742,583,331,976 with Prime Factorization

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

2 x 53 x 7 x 11 x 331 x 488 = 1318391536

Therefore, the lowest common multiple of 742,583,331,976 is 1318391536.

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.

742 x 583 x 331 x 976 = 139749502816

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

583 : 1, 11, 53, 583

331 : 1, 331

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,583,331,976, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

583:11x 53

331:331

976:2x 2x 2x 2x 61

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 139749502816/(1x106)

LCM = 139749502816/106

LCM = 1318391536

Thus, we can understand that the LCM of 742,583,331,976 is 1318391536.

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

• LCM of 309, 516, 436, 114
• LCM of 956, 333, 479, 967
• LCM of 902, 991, 796, 173
• LCM of 336, 895, 656, 419
• LCM of 784, 863, 786, 186

1. What is the LCM of 742, 583, 331, 976?

Answer: LCM of 742, 583, 331, 976 is 1318391536.

2. How to calculate the LCM of 742, 583, 331, 976?

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 742, 583, 331, 976.

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}.