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LCM of 740, 662, 528, 506, 897

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


Find the LCM of 740, 662, 528, 506, 897 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, 662, 528, 506, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,662,528,506,897

Given numbers are 740,662,528,506,897

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

The LCM of 740,662,528,506,897 is 9667291920.

Find LCM of 740,662,528,506,897 with Prime Factorization


2 740, 662, 528, 506, 897
2 370, 331, 264, 253, 897
3 185, 331, 132, 253, 897
11 185, 331, 44, 253, 299
23 185, 331, 4, 23, 299
185, 331, 4, 1, 13

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

2 x 2 x 3 x 11 x 23 x 185 x 331 x 4 x 1 x 13 = 9667291920

Therefore, the lowest common multiple of 740,662,528,506,897 is 9667291920.

LCM Formula to Find Lowest Common Multiple of 740,662,528,506,897

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 662 x 528 x 506 x 897 = 117399593076480

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

662 : 1, 2, 331, 662

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

506 : 1, 2, 11, 22, 23, 46, 253, 506

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,662,528,506,897, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

662:2x 331

528:2x 2x 2x 2x 3x 11

506:2x 11x 23

897:3x 13x 23

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 23 = 12144

Therefore, the value for common factors is 12144.

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 = 117399593076480/(1x12144)

LCM = 117399593076480/12144

LCM = 9667291920

Thus, we can understand that the LCM of 740,662,528,506,897 is 9667291920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 662, 528, 506, 897

1. What is the LCM of 740, 662, 528, 506, 897?

Answer: LCM of 740, 662, 528, 506, 897 is 9667291920.

2. How to calculate the LCM of 740, 662, 528, 506, 897?

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, 662, 528, 506, 897.

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}.