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LCM of 749, 154, 112, 209, 209

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


Find the LCM of 749, 154, 112, 209, 209 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 749, 154, 112, 209, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,154,112,209,209

Given numbers are 749,154,112,209,209

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

The LCM of 749,154,112,209,209 is 2504656.

Find LCM of 749,154,112,209,209 with Prime Factorization


2 749, 154, 112, 209, 209
7 749, 77, 56, 209, 209
11 107, 11, 8, 209, 209
19 107, 1, 8, 19, 19
107, 1, 8, 1, 1

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

2 x 7 x 11 x 19 x 107 x 1 x 8 x 1 x 1 = 2504656

Therefore, the lowest common multiple of 749,154,112,209,209 is 2504656.

LCM Formula to Find Lowest Common Multiple of 749,154,112,209,209

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 154 x 112 x 209 x 209 = 564304006112

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

209 : 1, 11, 19, 209

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,154,112,209,209, is 1.

Now, the common factors can be found like this.

749:7x 107

154:2x 7x 11

112:2x 2x 2x 2x 7

209:11x 19

209:11x 19

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

2x 7x 7x 11x 11x 19 = 225302

Therefore, the value for common factors is 225302.

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 = 564304006112/(1x225302)

LCM = 564304006112/225302

LCM = 2504656

Thus, we can understand that the LCM of 749,154,112,209,209 is 2504656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 154, 112, 209, 209

1. What is the LCM of 749, 154, 112, 209, 209?

Answer: LCM of 749, 154, 112, 209, 209 is 2504656.

2. How to calculate the LCM of 749, 154, 112, 209, 209?

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, 154, 112, 209, 209.

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}.