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LCM of 760, 202, 216, 364, 510

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


Find the LCM of 760, 202, 216, 364, 510 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 760, 202, 216, 364, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,202,216,364,510

Given numbers are 760,202,216,364,510

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

The LCM of 760,202,216,364,510 is 3206188440.

Find LCM of 760,202,216,364,510 with Prime Factorization


2 760, 202, 216, 364, 510
2 380, 101, 108, 182, 255
2 190, 101, 54, 91, 255
3 95, 101, 27, 91, 255
5 95, 101, 9, 91, 85
19, 101, 9, 91, 17

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

2 x 2 x 2 x 3 x 5 x 19 x 101 x 9 x 91 x 17 = 3206188440

Therefore, the lowest common multiple of 760,202,216,364,510 is 3206188440.

LCM Formula to Find Lowest Common Multiple of 760,202,216,364,510

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.

760 x 202 x 216 x 364 x 510 = 6155881804800

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.

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

202 : 1, 2, 101, 202

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,202,216,364,510, is 2.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

202:2x 101

216:2x 2x 2x 3x 3x 3

364:2x 2x 7x 13

510:2x 3x 5x 17

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 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 6155881804800/(2x960)

LCM = 6155881804800/1920

LCM = 3206188440

Thus, we can understand that the LCM of 760,202,216,364,510 is 3206188440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 202, 216, 364, 510

1. What is the LCM of 760, 202, 216, 364, 510?

Answer: LCM of 760, 202, 216, 364, 510 is 3206188440.

2. How to calculate the LCM of 760, 202, 216, 364, 510?

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 760, 202, 216, 364, 510.

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}.