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LCM of 893, 145, 638, 865, 737

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


Find the LCM of 893, 145, 638, 865, 737 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 893, 145, 638, 865, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,145,638,865,737

Given numbers are 893,145,638,865,737

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

The LCM of 893,145,638,865,737 is 33018933970.

Find LCM of 893,145,638,865,737 with Prime Factorization


5 893, 145, 638, 865, 737
11 893, 29, 638, 173, 737
29 893, 29, 58, 173, 67
893, 1, 2, 173, 67

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

5 x 11 x 29 x 893 x 1 x 2 x 173 x 67 = 33018933970

Therefore, the lowest common multiple of 893,145,638,865,737 is 33018933970.

LCM Formula to Find Lowest Common Multiple of 893,145,638,865,737

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.

893 x 145 x 638 x 865 x 737 = 52665199682150

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.

893 : 1, 19, 47, 893

145 : 1, 5, 29, 145

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

865 : 1, 5, 173, 865

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,145,638,865,737, is 1.

Now, the common factors can be found like this.

893:19x 47

145:5x 29

638:2x 11x 29

865:5x 173

737:11x 67

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

5x 11x 29 = 1595

Therefore, the value for common factors is 1595.

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 = 52665199682150/(1x1595)

LCM = 52665199682150/1595

LCM = 33018933970

Thus, we can understand that the LCM of 893,145,638,865,737 is 33018933970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 145, 638, 865, 737

1. What is the LCM of 893, 145, 638, 865, 737?

Answer: LCM of 893, 145, 638, 865, 737 is 33018933970.

2. How to calculate the LCM of 893, 145, 638, 865, 737?

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 893, 145, 638, 865, 737.

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}.