Given numbers are 3478,1504

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

The LCM of 3478,1504 is 55648.

Find LCM of 3478,1504 with Prime Factorization

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

2 x 47 x 37 x 16 = 55648

Therefore, the lowest common multiple of 3478,1504 is 55648.

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.

3478 x 1504 = 5230912

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.

3478 : 1, 2, 37, 47, 74, 94, 1739, 3478

1504 : 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

94 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3478,1504, is 94.

Now, the common factors can be found like this.

3478:2x 37x 47

1504:2x 2x 2x 2x 2x 47

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 = 5230912/(94x1)

LCM = 5230912/94

LCM = 55648

Thus, we can understand that the LCM of 3478,1504 is 55648.

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

• LCM of 7691, 1074
• LCM of 5412, 1666
• LCM of 2220, 8227
• LCM of 5662, 6674
• LCM of 1164, 6023

1. What is the LCM of 3478, 1504?

Answer: LCM of 3478, 1504 is 55648.

2. How to calculate the LCM of 3478, 1504?

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 3478, 1504.

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}.