Given numbers are 748,341,219,610

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

The LCM of 748,341,219,610 is 1548842460.

Find LCM of 748,341,219,610 with Prime Factorization

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

2 x 11 x 34 x 31 x 219 x 305 = 1548842460

Therefore, the lowest common multiple of 748,341,219,610 is 1548842460.

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.

748 x 341 x 219 x 610 = 34074534120

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

341 : 1, 11, 31, 341

219 : 1, 3, 73, 219

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,341,219,610, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

341:11x 31

219:3x 73

610:2x 5x 61

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 34074534120/(1x22)

LCM = 34074534120/22

LCM = 1548842460

Thus, we can understand that the LCM of 748,341,219,610 is 1548842460.

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

• LCM of 144, 992, 469, 427
• LCM of 596, 667, 723, 982
• LCM of 556, 197, 311, 711
• LCM of 630, 706, 314, 258
• LCM of 181, 280, 921, 837

1. What is the LCM of 748, 341, 219, 610?

Answer: LCM of 748, 341, 219, 610 is 1548842460.

2. How to calculate the LCM of 748, 341, 219, 610?

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 748, 341, 219, 610.

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}.