Given numbers are 361,377,377,742

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

The LCM of 361,377,377,742 is 100983974.

Find LCM of 361,377,377,742 with Prime Factorization

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

13 x 29 x 361 x 1 x 1 x 742 = 100983974

Therefore, the lowest common multiple of 361,377,377,742 is 100983974.

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.

361 x 377 x 377 x 742 = 38070958198

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.

361 : 1, 19, 361

377 : 1, 13, 29, 377

377 : 1, 13, 29, 377

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,377,377,742, is 1.

Now, the common factors can be found like this.

361:19x 19

377:13x 29

377:13x 29

742:2x 7x 53

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 38070958198/(1x377)

LCM = 38070958198/377

LCM = 100983974

Thus, we can understand that the LCM of 361,377,377,742 is 100983974.

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

• LCM of 909, 533, 107, 866
• LCM of 456, 320, 839, 767
• LCM of 377, 516, 438, 814
• LCM of 870, 524, 137, 353
• LCM of 193, 518, 673, 223

1. What is the LCM of 361, 377, 377, 742?

Answer: LCM of 361, 377, 377, 742 is 100983974.

2. How to calculate the LCM of 361, 377, 377, 742?

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 361, 377, 377, 742.

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}.