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LCM of 103, 865, 824, 565

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


Find the LCM of 103, 865, 824, 565 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 103, 865, 824, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,865,824,565

Given numbers are 103,865,824,565

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

The LCM of 103,865,824,565 is 80541880.

Find LCM of 103,865,824,565 with Prime Factorization


5 103, 865, 824, 565
103 103, 173, 824, 113
1, 173, 8, 113

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

5 x 103 x 1 x 173 x 8 x 113 = 80541880

Therefore, the lowest common multiple of 103,865,824,565 is 80541880.

LCM Formula to Find Lowest Common Multiple of 103,865,824,565

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.

103 x 865 x 824 x 565 = 41479068200

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.

103 : 1, 103

865 : 1, 5, 173, 865

824 : 1, 2, 4, 8, 103, 206, 412, 824

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,865,824,565, is 1.

Now, the common factors can be found like this.

103:103

865:5x 173

824:2x 2x 2x 103

565:5x 113

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

5x 103 = 515

Therefore, the value for common factors is 515.

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 = 41479068200/(1x515)

LCM = 41479068200/515

LCM = 80541880

Thus, we can understand that the LCM of 103,865,824,565 is 80541880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 865, 824, 565

1. What is the LCM of 103, 865, 824, 565?

Answer: LCM of 103, 865, 824, 565 is 80541880.

2. How to calculate the LCM of 103, 865, 824, 565?

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 103, 865, 824, 565.

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}.