Given numbers are 107,770,407,780

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

The LCM of 107,770,407,780 is 237777540.

Find LCM of 107,770,407,780 with Prime Factorization

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

2 x 5 x 11 x 107 x 7 x 37 x 78 = 237777540

Therefore, the lowest common multiple of 107,770,407,780 is 237777540.

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.

107 x 770 x 407 x 780 = 26155529400

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.

107 : 1, 107

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

407 : 1, 11, 37, 407

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,770,407,780, is 1.

Now, the common factors can be found like this.

107:107

770:2x 5x 7x 11

407:11x 37

780:2x 2x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 26155529400/(1x110)

LCM = 26155529400/110

LCM = 237777540

Thus, we can understand that the LCM of 107,770,407,780 is 237777540.

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

• LCM of 546, 793, 504, 983
• LCM of 821, 839, 173, 805
• LCM of 786, 447, 359, 794
• LCM of 855, 420, 932, 644
• LCM of 298, 631, 777, 590

1. What is the LCM of 107, 770, 407, 780?

Answer: LCM of 107, 770, 407, 780 is 237777540.

2. How to calculate the LCM of 107, 770, 407, 780?

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 107, 770, 407, 780.

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}.