Given numbers are 1502,1678

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

The LCM of 1502,1678 is 1260178.

Find LCM of 1502,1678 with Prime Factorization

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

2 x 751 x 839 = 1260178

Therefore, the lowest common multiple of 1502,1678 is 1260178.

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.

1502 x 1678 = 2520356

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.

1502 : 1, 2, 751, 1502

1678 : 1, 2, 839, 1678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1502,1678, is 2.

Now, the common factors can be found like this.

1502:2x 751

1678:2x 839

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 = 2520356/(2x1)

LCM = 2520356/2

LCM = 1260178

Thus, we can understand that the LCM of 1502,1678 is 1260178.

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

• LCM of 1419, 1460
• LCM of 7769, 2489
• LCM of 7598, 7503
• LCM of 9773, 8762
• LCM of 7425, 8664

1. What is the LCM of 1502, 1678?

Answer: LCM of 1502, 1678 is 1260178.

2. How to calculate the LCM of 1502, 1678?

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 1502, 1678.

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}.