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LCM of 979, 670, 744, 250, 444

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


Find the LCM of 979, 670, 744, 250, 444 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 979, 670, 744, 250, 444. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,670,744,250,444

Given numbers are 979,670,744,250,444

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

The LCM of 979,670,744,250,444 is 225705513000.

Find LCM of 979,670,744,250,444 with Prime Factorization


2 979, 670, 744, 250, 444
2 979, 335, 372, 125, 222
3 979, 335, 186, 125, 111
5 979, 335, 62, 125, 37
979, 67, 62, 25, 37

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

2 x 2 x 3 x 5 x 979 x 67 x 62 x 25 x 37 = 225705513000

Therefore, the lowest common multiple of 979,670,744,250,444 is 225705513000.

LCM Formula to Find Lowest Common Multiple of 979,670,744,250,444

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.

979 x 670 x 744 x 250 x 444 = 54169323120000

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.

979 : 1, 11, 89, 979

670 : 1, 2, 5, 10, 67, 134, 335, 670

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

250 : 1, 2, 5, 10, 25, 50, 125, 250

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,670,744,250,444, is 1.

Now, the common factors can be found like this.

979:11x 89

670:2x 5x 67

744:2x 2x 2x 3x 31

250:2x 5x 5x 5

444:2x 2x 3x 37

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 54169323120000/(1x240)

LCM = 54169323120000/240

LCM = 225705513000

Thus, we can understand that the LCM of 979,670,744,250,444 is 225705513000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 670, 744, 250, 444

1. What is the LCM of 979, 670, 744, 250, 444?

Answer: LCM of 979, 670, 744, 250, 444 is 225705513000.

2. How to calculate the LCM of 979, 670, 744, 250, 444?

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 979, 670, 744, 250, 444.

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}.