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LCM of 651, 245, 654, 984, 865

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


Find the LCM of 651, 245, 654, 984, 865 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 651, 245, 654, 984, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,245,654,984,865

Given numbers are 651,245,654,984,865

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

The LCM of 651,245,654,984,865 is 140927412360.

Find LCM of 651,245,654,984,865 with Prime Factorization


2 651, 245, 654, 984, 865
3 651, 245, 327, 492, 865
5 217, 245, 109, 164, 865
7 217, 49, 109, 164, 173
31, 7, 109, 164, 173

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

2 x 3 x 5 x 7 x 31 x 7 x 109 x 164 x 173 = 140927412360

Therefore, the lowest common multiple of 651,245,654,984,865 is 140927412360.

LCM Formula to Find Lowest Common Multiple of 651,245,654,984,865

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.

651 x 245 x 654 x 984 x 865 = 88784269786800

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

245 : 1, 5, 7, 35, 49, 245

654 : 1, 2, 3, 6, 109, 218, 327, 654

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,245,654,984,865, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

245:5x 7x 7

654:2x 3x 109

984:2x 2x 2x 3x 41

865:5x 173

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

2x 3x 3x 5x 7 = 630

Therefore, the value for common factors is 630.

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 = 88784269786800/(1x630)

LCM = 88784269786800/630

LCM = 140927412360

Thus, we can understand that the LCM of 651,245,654,984,865 is 140927412360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 245, 654, 984, 865

1. What is the LCM of 651, 245, 654, 984, 865?

Answer: LCM of 651, 245, 654, 984, 865 is 140927412360.

2. How to calculate the LCM of 651, 245, 654, 984, 865?

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 651, 245, 654, 984, 865.

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}.