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LCM of 751, 286, 121, 407

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 751, 286, 121, 407 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 751, 286, 121, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,286,121,407

Given numbers are 751,286,121,407

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

The LCM of 751,286,121,407 is 87417902.

Find LCM of 751,286,121,407 with Prime Factorization


11 751, 286, 121, 407
751, 26, 11, 37

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

11 x 751 x 26 x 11 x 37 = 87417902

Therefore, the lowest common multiple of 751,286,121,407 is 87417902.

LCM Formula to Find Lowest Common Multiple of 751,286,121,407

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.

751 x 286 x 121 x 407 = 10577566142

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.

751 : 1, 751

286 : 1, 2, 11, 13, 22, 26, 143, 286

121 : 1, 11, 121

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,286,121,407, is 1.

Now, the common factors can be found like this.

751:751

286:2x 11x 13

121:11x 11

407:11x 37

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 10577566142/(1x121)

LCM = 10577566142/121

LCM = 87417902

Thus, we can understand that the LCM of 751,286,121,407 is 87417902.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 286, 121, 407

1. What is the LCM of 751, 286, 121, 407?

Answer: LCM of 751, 286, 121, 407 is 87417902.

2. How to calculate the LCM of 751, 286, 121, 407?

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 751, 286, 121, 407.

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}.