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LCM of 760, 351, 565, 775

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


Find the LCM of 760, 351, 565, 775 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, 351, 565, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,351,565,775

Given numbers are 760,351,565,775

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

The LCM of 760,351,565,775 is 4672301400.

Find LCM of 760,351,565,775 with Prime Factorization


5 760, 351, 565, 775
152, 351, 113, 155

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

5 x 152 x 351 x 113 x 155 = 4672301400

Therefore, the lowest common multiple of 760,351,565,775 is 4672301400.

LCM Formula to Find Lowest Common Multiple of 760,351,565,775

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 351 x 565 x 775 = 116807535000

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

565 : 1, 5, 113, 565

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,351,565,775, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

351:3x 3x 3x 13

565:5x 113

775:5x 5x 31

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 116807535000/(1x25)

LCM = 116807535000/25

LCM = 4672301400

Thus, we can understand that the LCM of 760,351,565,775 is 4672301400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 351, 565, 775

1. What is the LCM of 760, 351, 565, 775?

Answer: LCM of 760, 351, 565, 775 is 4672301400.

2. How to calculate the LCM of 760, 351, 565, 775?

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, 351, 565, 775.

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}.