Given numbers are 291,580,748,969,990

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

The LCM of 291,580,748,969,990 is 1799026020.

Find LCM of 291,580,748,969,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 17 x 97 x 29 x 1 x 19 x 3 = 1799026020

Therefore, the lowest common multiple of 291,580,748,969,990 is 1799026020.

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.

291 x 580 x 748 x 969 x 990 = 121110431666400

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.

291 : 1, 3, 97, 291

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

969 : 1, 3, 17, 19, 51, 57, 323, 969

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,580,748,969,990, is 1.

Now, the common factors can be found like this.

291:3x 97

580:2x 2x 5x 29

748:2x 2x 11x 17

969:3x 17x 19

990:2x 3x 3x 5x 11

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 3x 3x 5x 11x 17 = 67320

Therefore, the value for common factors is 67320.

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 = 121110431666400/(1x67320)

LCM = 121110431666400/67320

LCM = 1799026020

Thus, we can understand that the LCM of 291,580,748,969,990 is 1799026020.

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

• LCM of 830, 370, 791, 819, 368
• LCM of 918, 207, 612, 880, 902
• LCM of 839, 292, 892, 506, 181
• LCM of 762, 401, 705, 114, 716
• LCM of 218, 376, 693, 761, 154

1. What is the LCM of 291, 580, 748, 969, 990?

Answer: LCM of 291, 580, 748, 969, 990 is 1799026020.

2. How to calculate the LCM of 291, 580, 748, 969, 990?

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 291, 580, 748, 969, 990.

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}.