Given numbers are 748,116,211,369

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

The LCM of 748,116,211,369 is 1688917428.

Find LCM of 748,116,211,369 with Prime Factorization

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

2 x 2 x 187 x 29 x 211 x 369 = 1688917428

Therefore, the lowest common multiple of 748,116,211,369 is 1688917428.

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.

748 x 116 x 211 x 369 = 6755669712

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

116 : 1, 2, 4, 29, 58, 116

211 : 1, 211

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,116,211,369, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

116:2x 2x 29

211:211

369:3x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6755669712/(1x4)

LCM = 6755669712/4

LCM = 1688917428

Thus, we can understand that the LCM of 748,116,211,369 is 1688917428.

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

• LCM of 454, 167, 644, 828
• LCM of 644, 844, 470, 475
• LCM of 773, 477, 720, 947
• LCM of 684, 671, 674, 409
• LCM of 207, 191, 988, 508

1. What is the LCM of 748, 116, 211, 369?

Answer: LCM of 748, 116, 211, 369 is 1688917428.

2. How to calculate the LCM of 748, 116, 211, 369?

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 748, 116, 211, 369.

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}.