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LCM of 612, 824, 782, 760

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


Find the LCM of 612, 824, 782, 760 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 612, 824, 782, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,824,782,760

Given numbers are 612,824,782,760

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

The LCM of 612,824,782,760 is 275467320.

Find LCM of 612,824,782,760 with Prime Factorization


2 612, 824, 782, 760
2 306, 412, 391, 380
2 153, 206, 391, 190
17 153, 103, 391, 95
9, 103, 23, 95

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

2 x 2 x 2 x 17 x 9 x 103 x 23 x 95 = 275467320

Therefore, the lowest common multiple of 612,824,782,760 is 275467320.

LCM Formula to Find Lowest Common Multiple of 612,824,782,760

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.

612 x 824 x 782 x 760 = 299708444160

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,824,782,760, is 2.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

824:2x 2x 2x 103

782:2x 17x 23

760:2x 2x 2x 5x 19

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 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 299708444160/(2x544)

LCM = 299708444160/1088

LCM = 275467320

Thus, we can understand that the LCM of 612,824,782,760 is 275467320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 824, 782, 760

1. What is the LCM of 612, 824, 782, 760?

Answer: LCM of 612, 824, 782, 760 is 275467320.

2. How to calculate the LCM of 612, 824, 782, 760?

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 612, 824, 782, 760.

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}.