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LCM of 713, 989, 897, 632

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


Find the LCM of 713, 989, 897, 632 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 713, 989, 897, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,989,897,632

Given numbers are 713,989,897,632

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

The LCM of 713,989,897,632 is 755683032.

Find LCM of 713,989,897,632 with Prime Factorization


23 713, 989, 897, 632
31, 43, 39, 632

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

23 x 31 x 43 x 39 x 632 = 755683032

Therefore, the lowest common multiple of 713,989,897,632 is 755683032.

LCM Formula to Find Lowest Common Multiple of 713,989,897,632

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.

713 x 989 x 897 x 632 = 399756323928

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.

713 : 1, 23, 31, 713

989 : 1, 23, 43, 989

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

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,989,897,632, is 1.

Now, the common factors can be found like this.

713:23x 31

989:23x 43

897:3x 13x 23

632:2x 2x 2x 79

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

23x 23 = 529

Therefore, the value for common factors is 529.

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 = 399756323928/(1x529)

LCM = 399756323928/529

LCM = 755683032

Thus, we can understand that the LCM of 713,989,897,632 is 755683032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 989, 897, 632

1. What is the LCM of 713, 989, 897, 632?

Answer: LCM of 713, 989, 897, 632 is 755683032.

2. How to calculate the LCM of 713, 989, 897, 632?

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 713, 989, 897, 632.

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}.