Given numbers are 410,160,349,340,968

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

The LCM of 410,160,349,340,968 is 4709378080.

Find LCM of 410,160,349,340,968 with Prime Factorization

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

2 x 2 x 2 x 5 x 41 x 4 x 349 x 17 x 121 = 4709378080

Therefore, the lowest common multiple of 410,160,349,340,968 is 4709378080.

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.

410 x 160 x 349 x 340 x 968 = 7535004928000

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

349 : 1, 349

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,160,349,340,968, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

160:2x 2x 2x 2x 2x 5

349:349

340:2x 2x 5x 17

968:2x 2x 2x 11x 11

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

2x 2x 2x 2x 2x 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 7535004928000/(1x1600)

LCM = 7535004928000/1600

LCM = 4709378080

Thus, we can understand that the LCM of 410,160,349,340,968 is 4709378080.

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

• LCM of 360, 985, 609, 802, 401
• LCM of 793, 111, 304, 876, 953
• LCM of 938, 863, 520, 641, 150
• LCM of 241, 786, 340, 868, 219
• LCM of 379, 290, 168, 668, 433

1. What is the LCM of 410, 160, 349, 340, 968?

Answer: LCM of 410, 160, 349, 340, 968 is 4709378080.

2. How to calculate the LCM of 410, 160, 349, 340, 968?

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 410, 160, 349, 340, 968.

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}.