Given numbers are 734,414,357,480

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

The LCM of 734,414,357,480 is 1446449760.

Find LCM of 734,414,357,480 with Prime Factorization

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

2 x 3 x 367 x 69 x 119 x 80 = 1446449760

Therefore, the lowest common multiple of 734,414,357,480 is 1446449760.

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.

734 x 414 x 357 x 480 = 52072191360

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.

734 : 1, 2, 367, 734

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

357 : 1, 3, 7, 17, 21, 51, 119, 357

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,414,357,480, is 1.

Now, the common factors can be found like this.

734:2x 367

414:2x 3x 3x 23

357:3x 7x 17

480:2x 2x 2x 2x 2x 3x 5

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 = 52072191360/(1x36)

LCM = 52072191360/36

LCM = 1446449760

Thus, we can understand that the LCM of 734,414,357,480 is 1446449760.

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

• LCM of 146, 630, 234, 308
• LCM of 744, 171, 990, 738
• LCM of 275, 692, 269, 417
• LCM of 378, 198, 585, 907
• LCM of 745, 279, 285, 930

1. What is the LCM of 734, 414, 357, 480?

Answer: LCM of 734, 414, 357, 480 is 1446449760.

2. How to calculate the LCM of 734, 414, 357, 480?

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 734, 414, 357, 480.

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}.