Given numbers are 261,145,314,121

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

The LCM of 261,145,314,121 is 49582170.

Find LCM of 261,145,314,121 with Prime Factorization

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

29 x 9 x 5 x 314 x 121 = 49582170

Therefore, the lowest common multiple of 261,145,314,121 is 49582170.

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.

261 x 145 x 314 x 121 = 1437882930

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.

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

145 : 1, 5, 29, 145

314 : 1, 2, 157, 314

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,145,314,121, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

145:5x 29

314:2x 157

121:11x 11

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

29 = 29

Therefore, the value for common factors is 29.

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 = 1437882930/(1x29)

LCM = 1437882930/29

LCM = 49582170

Thus, we can understand that the LCM of 261,145,314,121 is 49582170.

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

• LCM of 750, 569, 103, 687
• LCM of 190, 519, 783, 784
• LCM of 196, 957, 736, 976
• LCM of 899, 582, 889, 270
• LCM of 399, 917, 760, 219

1. What is the LCM of 261, 145, 314, 121?

Answer: LCM of 261, 145, 314, 121 is 49582170.

2. How to calculate the LCM of 261, 145, 314, 121?

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 261, 145, 314, 121.

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}.