Given numbers are 343,214,745,107

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

The LCM of 343,214,745,107 is 54684490.

Find LCM of 343,214,745,107 with Prime Factorization

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

107 x 343 x 2 x 745 x 1 = 54684490

Therefore, the lowest common multiple of 343,214,745,107 is 54684490.

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.

343 x 214 x 745 x 107 = 5851240430

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.

343 : 1, 7, 49, 343

214 : 1, 2, 107, 214

745 : 1, 5, 149, 745

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,214,745,107, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

214:2x 107

745:5x 149

107:107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 5851240430/(1x107)

LCM = 5851240430/107

LCM = 54684490

Thus, we can understand that the LCM of 343,214,745,107 is 54684490.

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

• LCM of 670, 155, 249, 375
• LCM of 709, 144, 883, 199
• LCM of 536, 711, 326, 671
• LCM of 150, 918, 899, 726
• LCM of 120, 618, 451, 693

1. What is the LCM of 343, 214, 745, 107?

Answer: LCM of 343, 214, 745, 107 is 54684490.

2. How to calculate the LCM of 343, 214, 745, 107?

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 343, 214, 745, 107.

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}.