Given numbers are 749,413,674,354

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

The LCM of 749,413,674,354 is 89354202.

Find LCM of 749,413,674,354 with Prime Factorization

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

2 x 7 x 59 x 107 x 1 x 337 x 3 = 89354202

Therefore, the lowest common multiple of 749,413,674,354 is 89354202.

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.

749 x 413 x 674 x 354 = 73806570852

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.

749 : 1, 7, 107, 749

413 : 1, 7, 59, 413

674 : 1, 2, 337, 674

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,413,674,354, is 1.

Now, the common factors can be found like this.

749:7x 107

413:7x 59

674:2x 337

354:2x 3x 59

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

2x 7x 59 = 826

Therefore, the value for common factors is 826.

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 = 73806570852/(1x826)

LCM = 73806570852/826

LCM = 89354202

Thus, we can understand that the LCM of 749,413,674,354 is 89354202.

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

• LCM of 578, 961, 321, 290
• LCM of 730, 683, 685, 568
• LCM of 342, 936, 958, 757
• LCM of 196, 415, 923, 671
• LCM of 505, 421, 372, 849

1. What is the LCM of 749, 413, 674, 354?

Answer: LCM of 749, 413, 674, 354 is 89354202.

2. How to calculate the LCM of 749, 413, 674, 354?

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 749, 413, 674, 354.

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}.