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LCM of 961, 340, 306, 775

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


Find the LCM of 961, 340, 306, 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 961, 340, 306, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,340,306,775

Given numbers are 961,340,306,775

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

The LCM of 961,340,306,775 is 14703300.

Find LCM of 961,340,306,775 with Prime Factorization


2 961, 340, 306, 775
5 961, 170, 153, 775
17 961, 34, 153, 155
31 961, 2, 9, 155
31, 2, 9, 5

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

2 x 5 x 17 x 31 x 31 x 2 x 9 x 5 = 14703300

Therefore, the lowest common multiple of 961,340,306,775 is 14703300.

LCM Formula to Find Lowest Common Multiple of 961,340,306,775

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.

961 x 340 x 306 x 775 = 77486391000

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.

961 : 1, 31, 961

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 961,340,306,775, is 1.

Now, the common factors can be found like this.

961:31x 31

340:2x 2x 5x 17

306:2x 3x 3x 17

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.

2x 5x 17x 31 = 5270

Therefore, the value for common factors is 5270.

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 = 77486391000/(1x5270)

LCM = 77486391000/5270

LCM = 14703300

Thus, we can understand that the LCM of 961,340,306,775 is 14703300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 340, 306, 775

1. What is the LCM of 961, 340, 306, 775?

Answer: LCM of 961, 340, 306, 775 is 14703300.

2. How to calculate the LCM of 961, 340, 306, 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 961, 340, 306, 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}.