Given numbers are 349,472,354,689

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

The LCM of 349,472,354,689 is 340492776.

Find LCM of 349,472,354,689 with Prime Factorization

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

2 x 59 x 349 x 4 x 3 x 689 = 340492776

Therefore, the lowest common multiple of 349,472,354,689 is 340492776.

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 472 x 354 x 689 = 40178147568

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

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

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,472,354,689, is 1.

Now, the common factors can be found like this.

349:349

472:2x 2x 2x 59

354:2x 3x 59

689:13x 53

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 40178147568/(1x118)

LCM = 40178147568/118

LCM = 340492776

Thus, we can understand that the LCM of 349,472,354,689 is 340492776.

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

• LCM of 113, 860, 205, 979
• LCM of 898, 610, 277, 891
• LCM of 550, 583, 259, 742
• LCM of 570, 274, 210, 657
• LCM of 113, 297, 210, 142

1. What is the LCM of 349, 472, 354, 689?

Answer: LCM of 349, 472, 354, 689 is 340492776.

2. How to calculate the LCM of 349, 472, 354, 689?

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, 472, 354, 689.

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}.