Given numbers are 610,211,720,276,496

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

The LCM of 610,211,720,276,496 is 6607456560.

Find LCM of 610,211,720,276,496 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 61 x 211 x 3 x 23 x 31 = 6607456560

Therefore, the lowest common multiple of 610,211,720,276,496 is 6607456560.

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.

610 x 211 x 720 x 276 x 496 = 12686316595200

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

211 : 1, 211

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,211,720,276,496, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

211:211

720:2x 2x 2x 2x 3x 3x 5

276:2x 2x 3x 23

496:2x 2x 2x 2x 31

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 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 12686316595200/(1x1920)

LCM = 12686316595200/1920

LCM = 6607456560

Thus, we can understand that the LCM of 610,211,720,276,496 is 6607456560.

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

• LCM of 272, 637, 369, 654, 348
• LCM of 670, 343, 402, 212, 255
• LCM of 736, 223, 134, 845, 978
• LCM of 839, 919, 409, 212, 625
• LCM of 623, 606, 966, 831, 279

1. What is the LCM of 610, 211, 720, 276, 496?

Answer: LCM of 610, 211, 720, 276, 496 is 6607456560.

2. How to calculate the LCM of 610, 211, 720, 276, 496?

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 610, 211, 720, 276, 496.

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}.