Given numbers are 919,128,188,237,351

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

The LCM of 919,128,188,237,351 is 153305433216.

Find LCM of 919,128,188,237,351 with Prime Factorization

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

2 x 2 x 3 x 919 x 32 x 47 x 79 x 117 = 153305433216

Therefore, the lowest common multiple of 919,128,188,237,351 is 153305433216.

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.

919 x 128 x 188 x 237 x 351 = 1839665198592

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.

919 : 1, 919

128 : 1, 2, 4, 8, 16, 32, 64, 128

188 : 1, 2, 4, 47, 94, 188

237 : 1, 3, 79, 237

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,128,188,237,351, is 1.

Now, the common factors can be found like this.

919:919

128:2x 2x 2x 2x 2x 2x 2

188:2x 2x 47

237:3x 79

351:3x 3x 3x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1839665198592/(1x12)

LCM = 1839665198592/12

LCM = 153305433216

Thus, we can understand that the LCM of 919,128,188,237,351 is 153305433216.

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

• LCM of 747, 413, 997, 834, 525
• LCM of 774, 588, 756, 757, 952
• LCM of 692, 309, 394, 266, 792
• LCM of 473, 647, 144, 241, 801
• LCM of 907, 444, 682, 970, 189

1. What is the LCM of 919, 128, 188, 237, 351?

Answer: LCM of 919, 128, 188, 237, 351 is 153305433216.

2. How to calculate the LCM of 919, 128, 188, 237, 351?

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 919, 128, 188, 237, 351.

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}.