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LCM of 740, 136, 638, 174, 594

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


Find the LCM of 740, 136, 638, 174, 594 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 740, 136, 638, 174, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,136,638,174,594

Given numbers are 740,136,638,174,594

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

The LCM of 740,136,638,174,594 is 216703080.

Find LCM of 740,136,638,174,594 with Prime Factorization


2 740, 136, 638, 174, 594
2 370, 68, 319, 87, 297
3 185, 34, 319, 87, 297
11 185, 34, 319, 29, 99
29 185, 34, 29, 29, 9
185, 34, 1, 1, 9

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

2 x 2 x 3 x 11 x 29 x 185 x 34 x 1 x 1 x 9 = 216703080

Therefore, the lowest common multiple of 740,136,638,174,594 is 216703080.

LCM Formula to Find Lowest Common Multiple of 740,136,638,174,594

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.

740 x 136 x 638 x 174 x 594 = 6636315121920

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

136 : 1, 2, 4, 8, 17, 34, 68, 136

638 : 1, 2, 11, 22, 29, 58, 319, 638

174 : 1, 2, 3, 6, 29, 58, 87, 174

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,136,638,174,594, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

136:2x 2x 2x 17

638:2x 11x 29

174:2x 3x 29

594:2x 3x 3x 3x 11

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 2x 2x 3x 11x 29 = 15312

Therefore, the value for common factors is 15312.

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 = 6636315121920/(2x15312)

LCM = 6636315121920/30624

LCM = 216703080

Thus, we can understand that the LCM of 740,136,638,174,594 is 216703080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 136, 638, 174, 594

1. What is the LCM of 740, 136, 638, 174, 594?

Answer: LCM of 740, 136, 638, 174, 594 is 216703080.

2. How to calculate the LCM of 740, 136, 638, 174, 594?

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 740, 136, 638, 174, 594.

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}.