Given numbers are 3678,4354

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

The LCM of 3678,4354 is 8007006.

Find LCM of 3678,4354 with Prime Factorization

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

2 x 1839 x 2177 = 8007006

Therefore, the lowest common multiple of 3678,4354 is 8007006.

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.

3678 x 4354 = 16014012

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.

3678 : 1, 2, 3, 6, 613, 1226, 1839, 3678

4354 : 1, 2, 7, 14, 311, 622, 2177, 4354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3678,4354, is 2.

Now, the common factors can be found like this.

3678:2x 3x 613

4354:2x 7x 311

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 = 16014012/(2x1)

LCM = 16014012/2

LCM = 8007006

Thus, we can understand that the LCM of 3678,4354 is 8007006.

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

• LCM of 1829, 4120
• LCM of 2694, 7428
• LCM of 7280, 4365
• LCM of 8817, 8566
• LCM of 3610, 7317

1. What is the LCM of 3678, 4354?

Answer: LCM of 3678, 4354 is 8007006.

2. How to calculate the LCM of 3678, 4354?

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 3678, 4354.

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}.