Given numbers are 867,968,726,924,349

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

The LCM of 867,968,726,924,349 is 2050302408.

Find LCM of 867,968,726,924,349 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 289 x 2 x 1 x 7 x 349 = 2050302408

Therefore, the lowest common multiple of 867,968,726,924,349 is 2050302408.

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.

867 x 968 x 726 x 924 x 349 = 196484580363456

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.

867 : 1, 3, 17, 51, 289, 867

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,968,726,924,349, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

968:2x 2x 2x 11x 11

726:2x 3x 11x 11

924:2x 2x 3x 7x 11

349:349

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 3x 3x 11x 11x 11 = 95832

Therefore, the value for common factors is 95832.

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 = 196484580363456/(1x95832)

LCM = 196484580363456/95832

LCM = 2050302408

Thus, we can understand that the LCM of 867,968,726,924,349 is 2050302408.

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

• LCM of 691, 647, 167, 168, 573
• LCM of 792, 404, 105, 316, 678
• LCM of 265, 414, 483, 555, 160
• LCM of 411, 525, 926, 286, 210
• LCM of 250, 221, 400, 116, 792

1. What is the LCM of 867, 968, 726, 924, 349?

Answer: LCM of 867, 968, 726, 924, 349 is 2050302408.

2. How to calculate the LCM of 867, 968, 726, 924, 349?

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 867, 968, 726, 924, 349.

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}.