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LCM of 667, 236, 199, 270, 749

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


Find the LCM of 667, 236, 199, 270, 749 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 667, 236, 199, 270, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,236,199,270,749

Given numbers are 667,236,199,270,749

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

The LCM of 667,236,199,270,749 is 3167426161620.

Find LCM of 667,236,199,270,749 with Prime Factorization


2 667, 236, 199, 270, 749
667, 118, 199, 135, 749

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

2 x 667 x 118 x 199 x 135 x 749 = 3167426161620

Therefore, the lowest common multiple of 667,236,199,270,749 is 3167426161620.

LCM Formula to Find Lowest Common Multiple of 667,236,199,270,749

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.

667 x 236 x 199 x 270 x 749 = 6334852323240

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.

667 : 1, 23, 29, 667

236 : 1, 2, 4, 59, 118, 236

199 : 1, 199

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,236,199,270,749, is 1.

Now, the common factors can be found like this.

667:23x 29

236:2x 2x 59

199:199

270:2x 3x 3x 3x 5

749:7x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6334852323240/(1x2)

LCM = 6334852323240/2

LCM = 3167426161620

Thus, we can understand that the LCM of 667,236,199,270,749 is 3167426161620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 236, 199, 270, 749

1. What is the LCM of 667, 236, 199, 270, 749?

Answer: LCM of 667, 236, 199, 270, 749 is 3167426161620.

2. How to calculate the LCM of 667, 236, 199, 270, 749?

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 667, 236, 199, 270, 749.

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}.