Given numbers are 713,756,706,420,366

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

The LCM of 713,756,706,420,366 is 58034449620.

Find LCM of 713,756,706,420,366 with Prime Factorization

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

2 x 2 x 3 x 7 x 713 x 9 x 353 x 5 x 61 = 58034449620

Therefore, the lowest common multiple of 713,756,706,420,366 is 58034449620.

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.

713 x 756 x 706 x 420 x 366 = 58498725216960

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.

713 : 1, 23, 31, 713

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

706 : 1, 2, 353, 706

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,756,706,420,366, is 1.

Now, the common factors can be found like this.

713:23x 31

756:2x 2x 3x 3x 3x 7

706:2x 353

420:2x 2x 3x 5x 7

366:2x 3x 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 2x 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 58498725216960/(1x1008)

LCM = 58498725216960/1008

LCM = 58034449620

Thus, we can understand that the LCM of 713,756,706,420,366 is 58034449620.

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

• LCM of 536, 257, 203, 940, 837
• LCM of 926, 789, 992, 333, 649
• LCM of 532, 238, 857, 621, 375
• LCM of 886, 663, 933, 761, 796
• LCM of 840, 996, 129, 196, 285

1. What is the LCM of 713, 756, 706, 420, 366?

Answer: LCM of 713, 756, 706, 420, 366 is 58034449620.

2. How to calculate the LCM of 713, 756, 706, 420, 366?

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 713, 756, 706, 420, 366.

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}.