Given numbers are 774,760,142,351

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

The LCM of 774,760,142,351 is 814418280.

Find LCM of 774,760,142,351 with Prime Factorization

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

2 x 3 x 3 x 43 x 380 x 71 x 39 = 814418280

Therefore, the lowest common multiple of 774,760,142,351 is 814418280.

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.

774 x 760 x 142 x 351 = 29319058080

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

142 : 1, 2, 71, 142

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 774,760,142,351, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

760:2x 2x 2x 5x 19

142:2x 71

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 29319058080/(1x36)

LCM = 29319058080/36

LCM = 814418280

Thus, we can understand that the LCM of 774,760,142,351 is 814418280.

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

• LCM of 391, 159, 367, 736
• LCM of 488, 606, 458, 232
• LCM of 468, 414, 786, 130
• LCM of 970, 975, 404, 799
• LCM of 624, 760, 605, 935

1. What is the LCM of 774, 760, 142, 351?

Answer: LCM of 774, 760, 142, 351 is 814418280.

2. How to calculate the LCM of 774, 760, 142, 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 774, 760, 142, 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}.