Given numbers are 398,420,774,977,678

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

The LCM of 398,420,774,977,678 is 1190323709820.

Find LCM of 398,420,774,977,678 with Prime Factorization

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

2 x 3 x 199 x 70 x 129 x 977 x 113 = 1190323709820

Therefore, the lowest common multiple of 398,420,774,977,678 is 1190323709820.

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.

398 x 420 x 774 x 977 x 678 = 85703307107040

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.

398 : 1, 2, 199, 398

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

977 : 1, 977

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,420,774,977,678, is 1.

Now, the common factors can be found like this.

398:2x 199

420:2x 2x 3x 5x 7

774:2x 3x 3x 43

977:977

678:2x 3x 113

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 85703307107040/(1x72)

LCM = 85703307107040/72

LCM = 1190323709820

Thus, we can understand that the LCM of 398,420,774,977,678 is 1190323709820.

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

• LCM of 961, 951, 470, 677, 257
• LCM of 304, 963, 245, 844, 750
• LCM of 689, 219, 843, 157, 986
• LCM of 732, 587, 256, 629, 319
• LCM of 503, 606, 588, 844, 511

1. What is the LCM of 398, 420, 774, 977, 678?

Answer: LCM of 398, 420, 774, 977, 678 is 1190323709820.

2. How to calculate the LCM of 398, 420, 774, 977, 678?

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 398, 420, 774, 977, 678.

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}.