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LCM of 844, 186, 749

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


Find the LCM of 844, 186, 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 844, 186, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,186,749

Given numbers are 844,186,749

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

The LCM of 844,186,749 is 58790508.

Find LCM of 844,186,749 with Prime Factorization


2 844, 186, 749
422, 93, 749

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

2 x 422 x 93 x 749 = 58790508

Therefore, the lowest common multiple of 844,186,749 is 58790508.

LCM Formula to Find Lowest Common Multiple of 844,186,749

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.

844 x 186 x 749 = 117581016

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.

844 : 1, 2, 4, 211, 422, 844

186 : 1, 2, 3, 6, 31, 62, 93, 186

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,186,749, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

186:2x 3x 31

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 = 117581016/(1x2)

LCM = 117581016/2

LCM = 58790508

Thus, we can understand that the LCM of 844,186,749 is 58790508.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 844, 186, 749

1. What is the LCM of 844, 186, 749?

Answer: LCM of 844, 186, 749 is 58790508.

2. How to calculate the LCM of 844, 186, 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 844, 186, 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}.