Given numbers are 471,146,735,261

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

The LCM of 471,146,735,261 is 1465747290.

Find LCM of 471,146,735,261 with Prime Factorization

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

3 x 157 x 146 x 245 x 87 = 1465747290

Therefore, the lowest common multiple of 471,146,735,261 is 1465747290.

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.

471 x 146 x 735 x 261 = 13191725610

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.

471 : 1, 3, 157, 471

146 : 1, 2, 73, 146

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,146,735,261, is 1.

Now, the common factors can be found like this.

471:3x 157

146:2x 73

735:3x 5x 7x 7

261:3x 3x 29

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 13191725610/(1x9)

LCM = 13191725610/9

LCM = 1465747290

Thus, we can understand that the LCM of 471,146,735,261 is 1465747290.

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

• LCM of 224, 730, 230, 597
• LCM of 352, 985, 205, 967
• LCM of 665, 244, 147, 191
• LCM of 801, 855, 233, 790
• LCM of 373, 227, 643, 404

1. What is the LCM of 471, 146, 735, 261?

Answer: LCM of 471, 146, 735, 261 is 1465747290.

2. How to calculate the LCM of 471, 146, 735, 261?

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 471, 146, 735, 261.

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}.