Given numbers are 714,523,921,276,990

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

The LCM of 714,523,921,276,990 is 870121804860.

Find LCM of 714,523,921,276,990 with Prime Factorization

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

2 x 3 x 119 x 523 x 307 x 46 x 165 = 870121804860

Therefore, the lowest common multiple of 714,523,921,276,990 is 870121804860.

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.

714 x 523 x 921 x 276 x 990 = 93973154924880

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

523 : 1, 523

921 : 1, 3, 307, 921

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

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 714,523,921,276,990, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

523:523

921:3x 307

276:2x 2x 3x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 93973154924880/(1x108)

LCM = 93973154924880/108

LCM = 870121804860

Thus, we can understand that the LCM of 714,523,921,276,990 is 870121804860.

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

• LCM of 291, 874, 457, 703, 949
• LCM of 102, 880, 160, 128, 722
• LCM of 606, 126, 344, 458, 684
• LCM of 813, 425, 121, 259, 741
• LCM of 279, 190, 540, 858, 531

1. What is the LCM of 714, 523, 921, 276, 990?

Answer: LCM of 714, 523, 921, 276, 990 is 870121804860.

2. How to calculate the LCM of 714, 523, 921, 276, 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 714, 523, 921, 276, 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}.