Given numbers are 349,331,698,735

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

The LCM of 349,331,698,735 is 169812930.

Find LCM of 349,331,698,735 with Prime Factorization

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

349 x 1 x 331 x 2 x 735 = 169812930

Therefore, the lowest common multiple of 349,331,698,735 is 169812930.

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 331 x 698 x 735 = 59264712570

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

331 : 1, 331

698 : 1, 2, 349, 698

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,331,698,735, is 1.

Now, the common factors can be found like this.

349:349

331:331

698:2x 349

735:3x 5x 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.

349 = 349

Therefore, the value for common factors is 349.

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 = 59264712570/(1x349)

LCM = 59264712570/349

LCM = 169812930

Thus, we can understand that the LCM of 349,331,698,735 is 169812930.

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

• LCM of 103, 975, 631, 690
• LCM of 854, 314, 789, 524
• LCM of 881, 709, 800, 267
• LCM of 305, 661, 566, 734
• LCM of 767, 162, 777, 951

1. What is the LCM of 349, 331, 698, 735?

Answer: LCM of 349, 331, 698, 735 is 169812930.

2. How to calculate the LCM of 349, 331, 698, 735?

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, 331, 698, 735.

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}.