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LCM of 428, 370, 123, 319, 738

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


Find the LCM of 428, 370, 123, 319, 738 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 428, 370, 123, 319, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,370,123,319,738

Given numbers are 428,370,123,319,738

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

The LCM of 428,370,123,319,738 is 9320356980.

Find LCM of 428,370,123,319,738 with Prime Factorization


2 428, 370, 123, 319, 738
3 214, 185, 123, 319, 369
41 214, 185, 41, 319, 123
214, 185, 1, 319, 3

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

2 x 3 x 41 x 214 x 185 x 1 x 319 x 3 = 9320356980

Therefore, the lowest common multiple of 428,370,123,319,738 is 9320356980.

LCM Formula to Find Lowest Common Multiple of 428,370,123,319,738

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.

428 x 370 x 123 x 319 x 738 = 4585615634160

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.

428 : 1, 2, 4, 107, 214, 428

370 : 1, 2, 5, 10, 37, 74, 185, 370

123 : 1, 3, 41, 123

319 : 1, 11, 29, 319

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,370,123,319,738, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

370:2x 5x 37

123:3x 41

319:11x 29

738:2x 3x 3x 41

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

2x 2x 3x 41 = 492

Therefore, the value for common factors is 492.

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 = 4585615634160/(1x492)

LCM = 4585615634160/492

LCM = 9320356980

Thus, we can understand that the LCM of 428,370,123,319,738 is 9320356980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 370, 123, 319, 738

1. What is the LCM of 428, 370, 123, 319, 738?

Answer: LCM of 428, 370, 123, 319, 738 is 9320356980.

2. How to calculate the LCM of 428, 370, 123, 319, 738?

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 428, 370, 123, 319, 738.

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}.