Given numbers are 1407,5754

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

The LCM of 1407,5754 is 385518.

Find LCM of 1407,5754 with Prime Factorization

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

3 x 7 x 67 x 274 = 385518

Therefore, the lowest common multiple of 1407,5754 is 385518.

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.

1407 x 5754 = 8095878

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.

1407 : 1, 3, 7, 21, 67, 201, 469, 1407

5754 : 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754

21 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1407,5754, is 21.

Now, the common factors can be found like this.

1407:3x 7x 67

5754:2x 3x 7x 137

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 = 8095878/(21x1)

LCM = 8095878/21

LCM = 385518

Thus, we can understand that the LCM of 1407,5754 is 385518.

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

• LCM of 8795, 3745
• LCM of 4225, 6955
• LCM of 2463, 4435
• LCM of 5550, 2554
• LCM of 2972, 9335

1. What is the LCM of 1407, 5754?

Answer: LCM of 1407, 5754 is 385518.

2. How to calculate the LCM of 1407, 5754?

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 1407, 5754.

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}.