Given numbers are 701,510,780,491,720

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

The LCM of 701,510,780,491,720 is 54767671920.

Find LCM of 701,510,780,491,720 with Prime Factorization

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

2 x 2 x 3 x 5 x 701 x 17 x 13 x 491 x 12 = 54767671920

Therefore, the lowest common multiple of 701,510,780,491,720 is 54767671920.

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.

701 x 510 x 780 x 491 x 720 = 98581809456000

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.

701 : 1, 701

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

491 : 1, 491

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,510,780,491,720, is 1.

Now, the common factors can be found like this.

701:701

510:2x 3x 5x 17

780:2x 2x 3x 5x 13

491:491

720:2x 2x 2x 2x 3x 3x 5

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 5 = 1800

Therefore, the value for common factors is 1800.

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 = 98581809456000/(1x1800)

LCM = 98581809456000/1800

LCM = 54767671920

Thus, we can understand that the LCM of 701,510,780,491,720 is 54767671920.

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

• LCM of 416, 665, 555, 563, 102
• LCM of 132, 112, 432, 824, 304
• LCM of 512, 807, 530, 910, 105
• LCM of 512, 978, 105, 582, 611
• LCM of 274, 242, 942, 858, 383

1. What is the LCM of 701, 510, 780, 491, 720?

Answer: LCM of 701, 510, 780, 491, 720 is 54767671920.

2. How to calculate the LCM of 701, 510, 780, 491, 720?

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 701, 510, 780, 491, 720.

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}.