Given numbers are 378,830,673,427,616

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

The LCM of 378,830,673,427,616 is 283359300840.

Find LCM of 378,830,673,427,616 with Prime Factorization

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

2 x 7 x 27 x 415 x 673 x 61 x 44 = 283359300840

Therefore, the lowest common multiple of 378,830,673,427,616 is 283359300840.

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 830 x 673 x 427 x 616 = 55538422964640

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

830 : 1, 2, 5, 10, 83, 166, 415, 830

673 : 1, 673

427 : 1, 7, 61, 427

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,830,673,427,616, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

830:2x 5x 83

673:673

427:7x 61

616:2x 2x 2x 7x 11

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 55538422964640/(1x196)

LCM = 55538422964640/196

LCM = 283359300840

Thus, we can understand that the LCM of 378,830,673,427,616 is 283359300840.

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

• LCM of 911, 528, 351, 500, 233
• LCM of 978, 540, 354, 872, 450
• LCM of 912, 412, 713, 540, 521
• LCM of 803, 878, 606, 321, 774
• LCM of 854, 846, 334, 171, 253

1. What is the LCM of 378, 830, 673, 427, 616?

Answer: LCM of 378, 830, 673, 427, 616 is 283359300840.

2. How to calculate the LCM of 378, 830, 673, 427, 616?

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, 830, 673, 427, 616.

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}.