Given numbers are 1460,4010

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

The LCM of 1460,4010 is 585460.

Find LCM of 1460,4010 with Prime Factorization

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

2 x 5 x 146 x 401 = 585460

Therefore, the lowest common multiple of 1460,4010 is 585460.

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.

1460 x 4010 = 5854600

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.

1460 : 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460

4010 : 1, 2, 5, 10, 401, 802, 2005, 4010

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1460,4010, is 10.

Now, the common factors can be found like this.

1460:2x 2x 5x 73

4010:2x 5x 401

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

= 1

Therefore, the value for common factors is 1.

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 = 5854600/(10x1)

LCM = 5854600/10

LCM = 585460

Thus, we can understand that the LCM of 1460,4010 is 585460.

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

• LCM of 3782, 3615
• LCM of 4336, 8053
• LCM of 2919, 6858
• LCM of 3861, 9703
• LCM of 7743, 5558

1. What is the LCM of 1460, 4010?

Answer: LCM of 1460, 4010 is 585460.

2. How to calculate the LCM of 1460, 4010?

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 1460, 4010.

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}.