Given numbers are 416,695,678,674

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

The LCM of 416,695,678,674 is 33029936160.

Find LCM of 416,695,678,674 with Prime Factorization

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

2 x 208 x 695 x 339 x 337 = 33029936160

Therefore, the lowest common multiple of 416,695,678,674 is 33029936160.

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.

416 x 695 x 678 x 674 = 132119744640

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

695 : 1, 5, 139, 695

678 : 1, 2, 3, 6, 113, 226, 339, 678

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,695,678,674, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

695:5x 139

678:2x 3x 113

674:2x 337

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 132119744640/(1x4)

LCM = 132119744640/4

LCM = 33029936160

Thus, we can understand that the LCM of 416,695,678,674 is 33029936160.

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

• LCM of 992, 470, 803, 370
• LCM of 871, 641, 191, 407
• LCM of 180, 406, 835, 564
• LCM of 958, 594, 290, 651
• LCM of 904, 687, 568, 454

1. What is the LCM of 416, 695, 678, 674?

Answer: LCM of 416, 695, 678, 674 is 33029936160.

2. How to calculate the LCM of 416, 695, 678, 674?

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 416, 695, 678, 674.

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}.