Given numbers are 241,746,624,198,226

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

The LCM of 241,746,624,198,226 is 209171662128.

Find LCM of 241,746,624,198,226 with Prime Factorization

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

2 x 3 x 241 x 373 x 104 x 33 x 113 = 209171662128

Therefore, the lowest common multiple of 241,746,624,198,226 is 209171662128.

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.

241 x 746 x 624 x 198 x 226 = 5020119891072

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.

241 : 1, 241

746 : 1, 2, 373, 746

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,746,624,198,226, is 1.

Now, the common factors can be found like this.

241:241

746:2x 373

624:2x 2x 2x 2x 3x 13

198:2x 3x 3x 11

226:2x 113

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5020119891072/(1x24)

LCM = 5020119891072/24

LCM = 209171662128

Thus, we can understand that the LCM of 241,746,624,198,226 is 209171662128.

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

• LCM of 921, 581, 935, 934, 701
• LCM of 618, 671, 549, 848, 901
• LCM of 400, 222, 303, 367, 781
• LCM of 332, 937, 472, 375, 980
• LCM of 123, 983, 312, 836, 977

1. What is the LCM of 241, 746, 624, 198, 226?

Answer: LCM of 241, 746, 624, 198, 226 is 209171662128.

2. How to calculate the LCM of 241, 746, 624, 198, 226?

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 241, 746, 624, 198, 226.

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}.