Given numbers are 353,298,326,746

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

The LCM of 353,298,326,746 is 6395690006.

Find LCM of 353,298,326,746 with Prime Factorization

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

2 x 353 x 149 x 163 x 373 = 6395690006

Therefore, the lowest common multiple of 353,298,326,746 is 6395690006.

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.

353 x 298 x 326 x 746 = 25582760024

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.

353 : 1, 353

298 : 1, 2, 149, 298

326 : 1, 2, 163, 326

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,298,326,746, is 1.

Now, the common factors can be found like this.

353:353

298:2x 149

326:2x 163

746:2x 373

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25582760024/(1x4)

LCM = 25582760024/4

LCM = 6395690006

Thus, we can understand that the LCM of 353,298,326,746 is 6395690006.

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

• LCM of 224, 296, 380, 702
• LCM of 190, 734, 404, 171
• LCM of 895, 995, 823, 829
• LCM of 251, 776, 211, 575
• LCM of 355, 297, 502, 152

1. What is the LCM of 353, 298, 326, 746?

Answer: LCM of 353, 298, 326, 746 is 6395690006.

2. How to calculate the LCM of 353, 298, 326, 746?

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 353, 298, 326, 746.

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}.