Given numbers are 949,596,110,173,228

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

The LCM of 949,596,110,173,228 is 306758157420.

Find LCM of 949,596,110,173,228 with Prime Factorization

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

2 x 2 x 949 x 149 x 55 x 173 x 57 = 306758157420

Therefore, the lowest common multiple of 949,596,110,173,228 is 306758157420.

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.

949 x 596 x 110 x 173 x 228 = 2454065259360

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.

949 : 1, 13, 73, 949

596 : 1, 2, 4, 149, 298, 596

110 : 1, 2, 5, 10, 11, 22, 55, 110

173 : 1, 173

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,596,110,173,228, is 1.

Now, the common factors can be found like this.

949:13x 73

596:2x 2x 149

110:2x 5x 11

173:173

228:2x 2x 3x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2454065259360/(1x8)

LCM = 2454065259360/8

LCM = 306758157420

Thus, we can understand that the LCM of 949,596,110,173,228 is 306758157420.

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

• LCM of 130, 135, 106, 389, 692
• LCM of 744, 735, 214, 285, 284
• LCM of 353, 523, 186, 597, 990
• LCM of 575, 539, 152, 263, 876
• LCM of 303, 812, 763, 400, 455

1. What is the LCM of 949, 596, 110, 173, 228?

Answer: LCM of 949, 596, 110, 173, 228 is 306758157420.

2. How to calculate the LCM of 949, 596, 110, 173, 228?

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 949, 596, 110, 173, 228.

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}.