Given numbers are 492,141,924,776,377

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

The LCM of 492,141,924,776,377 is 130225719624.

Find LCM of 492,141,924,776,377 with Prime Factorization

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

2 x 2 x 3 x 41 x 47 x 77 x 194 x 377 = 130225719624

Therefore, the lowest common multiple of 492,141,924,776,377 is 130225719624.

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.

492 x 141 x 924 x 776 x 377 = 18752503625856

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

141 : 1, 3, 47, 141

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

776 : 1, 2, 4, 8, 97, 194, 388, 776

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,141,924,776,377, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

141:3x 47

924:2x 2x 3x 7x 11

776:2x 2x 2x 97

377:13x 29

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 3 = 144

Therefore, the value for common factors is 144.

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 = 18752503625856/(1x144)

LCM = 18752503625856/144

LCM = 130225719624

Thus, we can understand that the LCM of 492,141,924,776,377 is 130225719624.

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

• LCM of 654, 361, 724, 524, 879
• LCM of 112, 675, 995, 776, 662
• LCM of 640, 240, 921, 805, 609
• LCM of 193, 345, 282, 870, 474
• LCM of 274, 605, 430, 391, 870

1. What is the LCM of 492, 141, 924, 776, 377?

Answer: LCM of 492, 141, 924, 776, 377 is 130225719624.

2. How to calculate the LCM of 492, 141, 924, 776, 377?

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 492, 141, 924, 776, 377.

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}.