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LCM of 714, 739, 510, 960

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


Find the LCM of 714, 739, 510, 960 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 714, 739, 510, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,739,510,960

Given numbers are 714,739,510,960

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

The LCM of 714,739,510,960 is 84423360.

Find LCM of 714,739,510,960 with Prime Factorization


2 714, 739, 510, 960
3 357, 739, 255, 480
5 119, 739, 85, 160
17 119, 739, 17, 32
7, 739, 1, 32

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

2 x 3 x 5 x 17 x 7 x 739 x 1 x 32 = 84423360

Therefore, the lowest common multiple of 714,739,510,960 is 84423360.

LCM Formula to Find Lowest Common Multiple of 714,739,510,960

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.

714 x 739 x 510 x 960 = 258335481600

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

739 : 1, 739

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,739,510,960, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

739:739

510:2x 3x 5x 17

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 3x 5x 17 = 3060

Therefore, the value for common factors is 3060.

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 = 258335481600/(1x3060)

LCM = 258335481600/3060

LCM = 84423360

Thus, we can understand that the LCM of 714,739,510,960 is 84423360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 739, 510, 960

1. What is the LCM of 714, 739, 510, 960?

Answer: LCM of 714, 739, 510, 960 is 84423360.

2. How to calculate the LCM of 714, 739, 510, 960?

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 714, 739, 510, 960.

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}.