Given numbers are 780,900,761,860,894

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

The LCM of 780,900,761,860,894 is 57046005900.

Find LCM of 780,900,761,860,894 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 15 x 761 x 43 x 149 = 57046005900

Therefore, the lowest common multiple of 780,900,761,860,894 is 57046005900.

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.

780 x 900 x 761 x 860 x 894 = 410731242480000

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.

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

761 : 1, 761

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,900,761,860,894, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

900:2x 2x 3x 3x 5x 5

761:761

860:2x 2x 5x 43

894:2x 3x 149

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 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 410731242480000/(1x7200)

LCM = 410731242480000/7200

LCM = 57046005900

Thus, we can understand that the LCM of 780,900,761,860,894 is 57046005900.

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

• LCM of 370, 850, 507, 495, 906
• LCM of 994, 213, 400, 550, 215
• LCM of 641, 208, 569, 369, 672
• LCM of 854, 724, 132, 319, 862
• LCM of 281, 234, 791, 776, 934

1. What is the LCM of 780, 900, 761, 860, 894?

Answer: LCM of 780, 900, 761, 860, 894 is 57046005900.

2. How to calculate the LCM of 780, 900, 761, 860, 894?

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 780, 900, 761, 860, 894.

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}.