Given numbers are 749,100,121,214

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

The LCM of 749,100,121,214 is 9062900.

Find LCM of 749,100,121,214 with Prime Factorization

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

2 x 107 x 7 x 50 x 121 x 1 = 9062900

Therefore, the lowest common multiple of 749,100,121,214 is 9062900.

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.

749 x 100 x 121 x 214 = 1939460600

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.

749 : 1, 7, 107, 749

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

121 : 1, 11, 121

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,100,121,214, is 1.

Now, the common factors can be found like this.

749:7x 107

100:2x 2x 5x 5

121:11x 11

214:2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 1939460600/(1x214)

LCM = 1939460600/214

LCM = 9062900

Thus, we can understand that the LCM of 749,100,121,214 is 9062900.

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

• LCM of 192, 828, 666, 843
• LCM of 795, 510, 622, 289
• LCM of 792, 148, 601, 990
• LCM of 440, 690, 402, 927
• LCM of 383, 835, 346, 324

1. What is the LCM of 749, 100, 121, 214?

Answer: LCM of 749, 100, 121, 214 is 9062900.

2. How to calculate the LCM of 749, 100, 121, 214?

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 749, 100, 121, 214.

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}.