Given numbers are 720,577,138,336,678

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

The LCM of 720,577,138,336,678 is 7558099920.

Find LCM of 720,577,138,336,678 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 15 x 577 x 23 x 7 x 113 = 7558099920

Therefore, the lowest common multiple of 720,577,138,336,678 is 7558099920.

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.

720 x 577 x 138 x 336 x 678 = 13060396661760

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

577 : 1, 577

138 : 1, 2, 3, 6, 23, 46, 69, 138

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 720,577,138,336,678, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

577:577

138:2x 3x 23

336:2x 2x 2x 2x 3x 7

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 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 13060396661760/(1x1728)

LCM = 13060396661760/1728

LCM = 7558099920

Thus, we can understand that the LCM of 720,577,138,336,678 is 7558099920.

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

• LCM of 681, 273, 597, 570, 661
• LCM of 220, 751, 457, 736, 148
• LCM of 793, 731, 753, 398, 541
• LCM of 138, 551, 665, 385, 381
• LCM of 437, 836, 408, 991, 748

1. What is the LCM of 720, 577, 138, 336, 678?

Answer: LCM of 720, 577, 138, 336, 678 is 7558099920.

2. How to calculate the LCM of 720, 577, 138, 336, 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 720, 577, 138, 336, 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}.