Given numbers are 1140,3513

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

The LCM of 1140,3513 is 1334940.

Find LCM of 1140,3513 with Prime Factorization

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

3 x 380 x 1171 = 1334940

Therefore, the lowest common multiple of 1140,3513 is 1334940.

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.

1140 x 3513 = 4004820

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.

1140 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140

3513 : 1, 3, 1171, 3513

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1140,3513, is 3.

Now, the common factors can be found like this.

1140:2x 2x 3x 5x 19

3513:3x 1171

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 = 4004820/(3x1)

LCM = 4004820/3

LCM = 1334940

Thus, we can understand that the LCM of 1140,3513 is 1334940.

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

• LCM of 2091, 9542
• LCM of 1728, 4585
• LCM of 8500, 5535
• LCM of 5455, 8373
• LCM of 9332, 4960

1. What is the LCM of 1140, 3513?

Answer: LCM of 1140, 3513 is 1334940.

2. How to calculate the LCM of 1140, 3513?

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 1140, 3513.

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}.