Given numbers are 677,136,120,722

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

The LCM of 677,136,120,722 is 498569880.

Find LCM of 677,136,120,722 with Prime Factorization

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

2 x 2 x 2 x 677 x 17 x 15 x 361 = 498569880

Therefore, the lowest common multiple of 677,136,120,722 is 498569880.

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.

677 x 136 x 120 x 722 = 7977118080

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.

677 : 1, 677

136 : 1, 2, 4, 8, 17, 34, 68, 136

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,136,120,722, is 1.

Now, the common factors can be found like this.

677:677

136:2x 2x 2x 17

120:2x 2x 2x 3x 5

722:2x 19x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 7977118080/(1x16)

LCM = 7977118080/16

LCM = 498569880

Thus, we can understand that the LCM of 677,136,120,722 is 498569880.

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

• LCM of 540, 300, 797, 718
• LCM of 512, 912, 229, 185
• LCM of 977, 458, 838, 662
• LCM of 720, 376, 880, 141
• LCM of 806, 453, 270, 575

1. What is the LCM of 677, 136, 120, 722?

Answer: LCM of 677, 136, 120, 722 is 498569880.

2. How to calculate the LCM of 677, 136, 120, 722?

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 677, 136, 120, 722.

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}.