Given numbers are 677,949,175,820

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

The LCM of 677,949,175,820 is 18438975100.

Find LCM of 677,949,175,820 with Prime Factorization

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

5 x 677 x 949 x 35 x 164 = 18438975100

Therefore, the lowest common multiple of 677,949,175,820 is 18438975100.

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 949 x 175 x 820 = 92194875500

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

949 : 1, 13, 73, 949

175 : 1, 5, 7, 25, 35, 175

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,949,175,820, is 1.

Now, the common factors can be found like this.

677:677

949:13x 73

175:5x 5x 7

820:2x 2x 5x 41

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

5 = 5

Therefore, the value for common factors is 5.

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 = 92194875500/(1x5)

LCM = 92194875500/5

LCM = 18438975100

Thus, we can understand that the LCM of 677,949,175,820 is 18438975100.

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

• LCM of 249, 567, 960, 280
• LCM of 946, 597, 755, 984
• LCM of 558, 341, 517, 390
• LCM of 476, 595, 536, 345
• LCM of 594, 140, 653, 381

1. What is the LCM of 677, 949, 175, 820?

Answer: LCM of 677, 949, 175, 820 is 18438975100.

2. How to calculate the LCM of 677, 949, 175, 820?

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, 949, 175, 820.

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}.