Given numbers are 678,942,398,415

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

The LCM of 678,942,398,415 is 8790842910.

Find LCM of 678,942,398,415 with Prime Factorization

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

2 x 3 x 113 x 157 x 199 x 415 = 8790842910

Therefore, the lowest common multiple of 678,942,398,415 is 8790842910.

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.

678 x 942 x 398 x 415 = 105490114920

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.

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

398 : 1, 2, 199, 398

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,942,398,415, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

942:2x 3x 157

398:2x 199

415:5x 83

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 3 = 12

Therefore, the value for common factors is 12.

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 = 105490114920/(1x12)

LCM = 105490114920/12

LCM = 8790842910

Thus, we can understand that the LCM of 678,942,398,415 is 8790842910.

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

• LCM of 845, 988, 600, 959
• LCM of 835, 461, 671, 144
• LCM of 236, 656, 946, 981
• LCM of 962, 934, 543, 597
• LCM of 270, 714, 861, 471

1. What is the LCM of 678, 942, 398, 415?

Answer: LCM of 678, 942, 398, 415 is 8790842910.

2. How to calculate the LCM of 678, 942, 398, 415?

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 678, 942, 398, 415.

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}.