Given numbers are 980,693,352,409,812

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

The LCM of 980,693,352,409,812 is 9206033760.

Find LCM of 980,693,352,409,812 with Prime Factorization

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

2 x 2 x 7 x 11 x 35 x 9 x 8 x 409 x 29 = 9206033760

Therefore, the lowest common multiple of 980,693,352,409,812 is 9206033760.

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.

980 x 693 x 352 x 409 x 812 = 79392835146240

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

409 : 1, 409

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,693,352,409,812, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

693:3x 3x 7x 11

352:2x 2x 2x 2x 2x 11

409:409

812:2x 2x 7x 29

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 7x 7x 11 = 8624

Therefore, the value for common factors is 8624.

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 = 79392835146240/(1x8624)

LCM = 79392835146240/8624

LCM = 9206033760

Thus, we can understand that the LCM of 980,693,352,409,812 is 9206033760.

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

• LCM of 831, 989, 769, 755, 856
• LCM of 888, 925, 469, 773, 956
• LCM of 977, 357, 447, 639, 326
• LCM of 764, 915, 358, 540, 365
• LCM of 640, 111, 716, 404, 401

1. What is the LCM of 980, 693, 352, 409, 812?

Answer: LCM of 980, 693, 352, 409, 812 is 9206033760.

2. How to calculate the LCM of 980, 693, 352, 409, 812?

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 980, 693, 352, 409, 812.

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}.