Given numbers are 1649,7275

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

The LCM of 1649,7275 is 123675.

Find LCM of 1649,7275 with Prime Factorization

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

97 x 17 x 75 = 123675

Therefore, the lowest common multiple of 1649,7275 is 123675.

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.

1649 x 7275 = 11996475

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.

1649 : 1, 17, 97, 1649

7275 : 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

97 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1649,7275, is 97.

Now, the common factors can be found like this.

1649:17x 97

7275:3x 5x 5x 97

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 = 11996475/(97x1)

LCM = 11996475/97

LCM = 123675

Thus, we can understand that the LCM of 1649,7275 is 123675.

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

• LCM of 7014, 1802
• LCM of 8096, 3027
• LCM of 3281, 9580
• LCM of 8308, 1227
• LCM of 4618, 4303

1. What is the LCM of 1649, 7275?

Answer: LCM of 1649, 7275 is 123675.

2. How to calculate the LCM of 1649, 7275?

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 1649, 7275.

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}.