Given numbers are 226,434,744,349,107

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

The LCM of 226,434,744,349,107 is 21976504872.

Find LCM of 226,434,744,349,107 with Prime Factorization

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

2 x 31 x 113 x 7 x 12 x 349 x 107 = 21976504872

Therefore, the lowest common multiple of 226,434,744,349,107 is 21976504872.

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.

226 x 434 x 744 x 349 x 107 = 2725086604128

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.

226 : 1, 2, 113, 226

434 : 1, 2, 7, 14, 31, 62, 217, 434

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

349 : 1, 349

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,434,744,349,107, is 1.

Now, the common factors can be found like this.

226:2x 113

434:2x 7x 31

744:2x 2x 2x 3x 31

349:349

107:107

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 31 = 124

Therefore, the value for common factors is 124.

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 = 2725086604128/(1x124)

LCM = 2725086604128/124

LCM = 21976504872

Thus, we can understand that the LCM of 226,434,744,349,107 is 21976504872.

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

• LCM of 270, 464, 573, 519, 823
• LCM of 423, 689, 360, 431, 629
• LCM of 655, 862, 227, 457, 298
• LCM of 573, 477, 990, 193, 211
• LCM of 296, 347, 164, 785, 762

1. What is the LCM of 226, 434, 744, 349, 107?

Answer: LCM of 226, 434, 744, 349, 107 is 21976504872.

2. How to calculate the LCM of 226, 434, 744, 349, 107?

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 226, 434, 744, 349, 107.

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}.