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LCM of 751, 192, 690, 625, 758

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


Find the LCM of 751, 192, 690, 625, 758 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 751, 192, 690, 625, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,192,690,625,758

Given numbers are 751,192,690,625,758

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

The LCM of 751,192,690,625,758 is 785576040000.

Find LCM of 751,192,690,625,758 with Prime Factorization


2 751, 192, 690, 625, 758
3 751, 96, 345, 625, 379
5 751, 32, 115, 625, 379
751, 32, 23, 125, 379

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

2 x 3 x 5 x 751 x 32 x 23 x 125 x 379 = 785576040000

Therefore, the lowest common multiple of 751,192,690,625,758 is 785576040000.

LCM Formula to Find Lowest Common Multiple of 751,192,690,625,758

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.

751 x 192 x 690 x 625 x 758 = 47134562400000

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.

751 : 1, 751

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

625 : 1, 5, 25, 125, 625

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,192,690,625,758, is 1.

Now, the common factors can be found like this.

751:751

192:2x 2x 2x 2x 2x 2x 3

690:2x 3x 5x 23

625:5x 5x 5x 5

758:2x 379

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 5 = 60

Therefore, the value for common factors is 60.

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 = 47134562400000/(1x60)

LCM = 47134562400000/60

LCM = 785576040000

Thus, we can understand that the LCM of 751,192,690,625,758 is 785576040000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 192, 690, 625, 758

1. What is the LCM of 751, 192, 690, 625, 758?

Answer: LCM of 751, 192, 690, 625, 758 is 785576040000.

2. How to calculate the LCM of 751, 192, 690, 625, 758?

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 751, 192, 690, 625, 758.

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}.