Given numbers are 701,780,975,414

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

The LCM of 701,780,975,414 is 188639100.

Find LCM of 701,780,975,414 with Prime Factorization

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

2 x 3 x 5 x 13 x 701 x 2 x 5 x 69 = 188639100

Therefore, the lowest common multiple of 701,780,975,414 is 188639100.

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.

701 x 780 x 975 x 414 = 220707747000

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.

701 : 1, 701

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,780,975,414, is 1.

Now, the common factors can be found like this.

701:701

780:2x 2x 3x 5x 13

975:3x 5x 5x 13

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 13 = 1170

Therefore, the value for common factors is 1170.

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 = 220707747000/(1x1170)

LCM = 220707747000/1170

LCM = 188639100

Thus, we can understand that the LCM of 701,780,975,414 is 188639100.

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

• LCM of 463, 684, 562, 118
• LCM of 317, 369, 421, 917
• LCM of 714, 528, 669, 531
• LCM of 175, 672, 685, 758
• LCM of 148, 910, 411, 448

1. What is the LCM of 701, 780, 975, 414?

Answer: LCM of 701, 780, 975, 414 is 188639100.

2. How to calculate the LCM of 701, 780, 975, 414?

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 701, 780, 975, 414.

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}.