Given numbers are 347,980,194,780,240

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

The LCM of 347,980,194,780,240 is 5145787920.

Find LCM of 347,980,194,780,240 with Prime Factorization

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

2 x 2 x 3 x 5 x 347 x 49 x 97 x 13 x 4 = 5145787920

Therefore, the lowest common multiple of 347,980,194,780,240 is 5145787920.

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.

347 x 980 x 194 x 780 x 240 = 12349891008000

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.

347 : 1, 347

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

194 : 1, 2, 97, 194

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,980,194,780,240, is 1.

Now, the common factors can be found like this.

347:347

980:2x 2x 5x 7x 7

194:2x 97

780:2x 2x 3x 5x 13

240:2x 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 2x 2x 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 12349891008000/(1x2400)

LCM = 12349891008000/2400

LCM = 5145787920

Thus, we can understand that the LCM of 347,980,194,780,240 is 5145787920.

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

• LCM of 599, 834, 153, 163, 319
• LCM of 134, 866, 572, 657, 466
• LCM of 502, 108, 117, 926, 291
• LCM of 680, 363, 675, 884, 847
• LCM of 725, 960, 635, 362, 783

1. What is the LCM of 347, 980, 194, 780, 240?

Answer: LCM of 347, 980, 194, 780, 240 is 5145787920.

2. How to calculate the LCM of 347, 980, 194, 780, 240?

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 347, 980, 194, 780, 240.

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}.