Given numbers are 676,149,770,343

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

The LCM of 676,149,770,343 is 1900158260.

Find LCM of 676,149,770,343 with Prime Factorization

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

2 x 7 x 338 x 149 x 55 x 49 = 1900158260

Therefore, the lowest common multiple of 676,149,770,343 is 1900158260.

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.

676 x 149 x 770 x 343 = 26602215640

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

149 : 1, 149

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,149,770,343, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

149:149

770:2x 5x 7x 11

343:7x 7x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 26602215640/(1x14)

LCM = 26602215640/14

LCM = 1900158260

Thus, we can understand that the LCM of 676,149,770,343 is 1900158260.

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

• LCM of 723, 901, 392, 590
• LCM of 948, 361, 724, 216
• LCM of 732, 556, 962, 668
• LCM of 624, 790, 281, 271
• LCM of 303, 956, 116, 787

1. What is the LCM of 676, 149, 770, 343?

Answer: LCM of 676, 149, 770, 343 is 1900158260.

2. How to calculate the LCM of 676, 149, 770, 343?

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 676, 149, 770, 343.

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}.