Given numbers are 378,676,772,780,852

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

The LCM of 378,676,772,780,852 is 8753750460.

Find LCM of 378,676,772,780,852 with Prime Factorization

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

2 x 2 x 3 x 13 x 63 x 13 x 193 x 5 x 71 = 8753750460

Therefore, the lowest common multiple of 378,676,772,780,852 is 8753750460.

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.

378 x 676 x 772 x 780 x 852 = 131096166888960

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

772 : 1, 2, 4, 193, 386, 772

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,676,772,780,852, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

676:2x 2x 13x 13

772:2x 2x 193

780:2x 2x 3x 5x 13

852:2x 2x 3x 71

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 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 131096166888960/(2x7488)

LCM = 131096166888960/14976

LCM = 8753750460

Thus, we can understand that the LCM of 378,676,772,780,852 is 8753750460.

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

• LCM of 624, 267, 693, 645, 345
• LCM of 132, 816, 857, 828, 758
• LCM of 254, 999, 181, 356, 980
• LCM of 486, 657, 319, 874, 143
• LCM of 648, 116, 852, 987, 119

1. What is the LCM of 378, 676, 772, 780, 852?

Answer: LCM of 378, 676, 772, 780, 852 is 8753750460.

2. How to calculate the LCM of 378, 676, 772, 780, 852?

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 378, 676, 772, 780, 852.

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}.