Given numbers are 349,203,214,749,421

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

The LCM of 349,203,214,749,421 is 6382889618.

Find LCM of 349,203,214,749,421 with Prime Factorization

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

7 x 107 x 349 x 29 x 2 x 1 x 421 = 6382889618

Therefore, the lowest common multiple of 349,203,214,749,421 is 6382889618.

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.

349 x 203 x 214 x 749 x 421 = 4780784323882

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.

349 : 1, 349

203 : 1, 7, 29, 203

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,203,214,749,421, is 1.

Now, the common factors can be found like this.

349:349

203:7x 29

214:2x 107

749:7x 107

421:421

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

7x 107 = 749

Therefore, the value for common factors is 749.

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 = 4780784323882/(1x749)

LCM = 4780784323882/749

LCM = 6382889618

Thus, we can understand that the LCM of 349,203,214,749,421 is 6382889618.

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

• LCM of 381, 855, 977, 923, 532
• LCM of 288, 339, 717, 473, 100
• LCM of 112, 654, 279, 206, 297
• LCM of 591, 451, 292, 975, 987
• LCM of 343, 770, 859, 578, 630

1. What is the LCM of 349, 203, 214, 749, 421?

Answer: LCM of 349, 203, 214, 749, 421 is 6382889618.

2. How to calculate the LCM of 349, 203, 214, 749, 421?

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 349, 203, 214, 749, 421.

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}.