Given numbers are 245,135,291,436,680

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

The LCM of 245,135,291,436,680 is 9511893720.

Find LCM of 245,135,291,436,680 with Prime Factorization

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

2 x 2 x 3 x 5 x 49 x 9 x 97 x 109 x 34 = 9511893720

Therefore, the lowest common multiple of 245,135,291,436,680 is 9511893720.

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.

245 x 135 x 291 x 436 x 680 = 2853568116000

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.

245 : 1, 5, 7, 35, 49, 245

135 : 1, 3, 5, 9, 15, 27, 45, 135

291 : 1, 3, 97, 291

436 : 1, 2, 4, 109, 218, 436

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,135,291,436,680, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

135:3x 3x 3x 5

291:3x 97

436:2x 2x 109

680:2x 2x 2x 5x 17

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 2853568116000/(1x300)

LCM = 2853568116000/300

LCM = 9511893720

Thus, we can understand that the LCM of 245,135,291,436,680 is 9511893720.

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

• LCM of 161, 782, 853, 238, 997
• LCM of 266, 356, 880, 599, 430
• LCM of 842, 769, 950, 880, 426
• LCM of 883, 963, 220, 919, 853
• LCM of 145, 956, 443, 862, 902

1. What is the LCM of 245, 135, 291, 436, 680?

Answer: LCM of 245, 135, 291, 436, 680 is 9511893720.

2. How to calculate the LCM of 245, 135, 291, 436, 680?

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 245, 135, 291, 436, 680.

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}.