Given numbers are 741,121,705,484,840

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

The LCM of 741,121,705,484,840 is 1179938760.

Find LCM of 741,121,705,484,840 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 11 x 247 x 1 x 47 x 1 x 14 = 1179938760

Therefore, the lowest common multiple of 741,121,705,484,840 is 1179938760.

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.

741 x 121 x 705 x 484 x 840 = 25699066192800

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

121 : 1, 11, 121

705 : 1, 3, 5, 15, 47, 141, 235, 705

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,121,705,484,840, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

121:11x 11

705:3x 5x 47

484:2x 2x 11x 11

840:2x 2x 2x 3x 5x 7

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 3x 5x 11x 11 = 21780

Therefore, the value for common factors is 21780.

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 = 25699066192800/(1x21780)

LCM = 25699066192800/21780

LCM = 1179938760

Thus, we can understand that the LCM of 741,121,705,484,840 is 1179938760.

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

• LCM of 409, 418, 749, 506, 346
• LCM of 613, 224, 769, 212, 577
• LCM of 814, 515, 797, 661, 727
• LCM of 685, 307, 721, 123, 509
• LCM of 919, 843, 420, 964, 801

1. What is the LCM of 741, 121, 705, 484, 840?

Answer: LCM of 741, 121, 705, 484, 840 is 1179938760.

2. How to calculate the LCM of 741, 121, 705, 484, 840?

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 741, 121, 705, 484, 840.

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}.