Given numbers are 1198,7144

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

The LCM of 1198,7144 is 4279256.

Find LCM of 1198,7144 with Prime Factorization

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

2 x 599 x 3572 = 4279256

Therefore, the lowest common multiple of 1198,7144 is 4279256.

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.

1198 x 7144 = 8558512

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.

1198 : 1, 2, 599, 1198

7144 : 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1198,7144, is 2.

Now, the common factors can be found like this.

1198:2x 599

7144:2x 2x 2x 19x 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 = 8558512/(2x1)

LCM = 8558512/2

LCM = 4279256

Thus, we can understand that the LCM of 1198,7144 is 4279256.

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

• LCM of 5955, 1089
• LCM of 8406, 6165
• LCM of 2624, 1749
• LCM of 9640, 2915
• LCM of 1914, 9371

1. What is the LCM of 1198, 7144?

Answer: LCM of 1198, 7144 is 4279256.

2. How to calculate the LCM of 1198, 7144?

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 1198, 7144.

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}.