Given numbers are 474,738,128,190,676

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

The LCM of 474,738,128,190,676 is 59906471040.

Find LCM of 474,738,128,190,676 with Prime Factorization

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

2 x 2 x 3 x 79 x 123 x 32 x 95 x 169 = 59906471040

Therefore, the lowest common multiple of 474,738,128,190,676 is 59906471040.

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.

474 x 738 x 128 x 190 x 676 = 5751021219840

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,738,128,190,676, is 2.

Now, the common factors can be found like this.

474:2x 3x 79

738:2x 3x 3x 41

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

190:2x 5x 19

676:2x 2x 13x 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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 5751021219840/(2x48)

LCM = 5751021219840/96

LCM = 59906471040

Thus, we can understand that the LCM of 474,738,128,190,676 is 59906471040.

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

• LCM of 928, 987, 131, 978, 744
• LCM of 530, 942, 577, 467, 212
• LCM of 895, 927, 499, 104, 206
• LCM of 132, 493, 588, 436, 910
• LCM of 901, 832, 113, 564, 549

1. What is the LCM of 474, 738, 128, 190, 676?

Answer: LCM of 474, 738, 128, 190, 676 is 59906471040.

2. How to calculate the LCM of 474, 738, 128, 190, 676?

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 474, 738, 128, 190, 676.

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}.