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LCM of 788, 341, 556, 749

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


Find the LCM of 788, 341, 556, 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 788, 341, 556, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,341,556,749

Given numbers are 788,341,556,749

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

The LCM of 788,341,556,749 is 27975458588.

Find LCM of 788,341,556,749 with Prime Factorization


2 788, 341, 556, 749
2 394, 341, 278, 749
197, 341, 139, 749

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

2 x 2 x 197 x 341 x 139 x 749 = 27975458588

Therefore, the lowest common multiple of 788,341,556,749 is 27975458588.

LCM Formula to Find Lowest Common Multiple of 788,341,556,749

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.

788 x 341 x 556 x 749 = 111901834352

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.

788 : 1, 2, 4, 197, 394, 788

341 : 1, 11, 31, 341

556 : 1, 2, 4, 139, 278, 556

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,341,556,749, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

341:11x 31

556:2x 2x 139

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 111901834352/(1x4)

LCM = 111901834352/4

LCM = 27975458588

Thus, we can understand that the LCM of 788,341,556,749 is 27975458588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 341, 556, 749

1. What is the LCM of 788, 341, 556, 749?

Answer: LCM of 788, 341, 556, 749 is 27975458588.

2. How to calculate the LCM of 788, 341, 556, 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 788, 341, 556, 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}.