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LCM of 981, 370, 708, 750, 993

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


Find the LCM of 981, 370, 708, 750, 993 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 981, 370, 708, 750, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,370,708,750,993

Given numbers are 981,370,708,750,993

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

The LCM of 981,370,708,750,993 is 354422056500.

Find LCM of 981,370,708,750,993 with Prime Factorization


2 981, 370, 708, 750, 993
3 981, 185, 354, 375, 993
5 327, 185, 118, 125, 331
327, 37, 118, 25, 331

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

2 x 3 x 5 x 327 x 37 x 118 x 25 x 331 = 354422056500

Therefore, the lowest common multiple of 981,370,708,750,993 is 354422056500.

LCM Formula to Find Lowest Common Multiple of 981,370,708,750,993

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.

981 x 370 x 708 x 750 x 993 = 191387910510000

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.

981 : 1, 3, 9, 109, 327, 981

370 : 1, 2, 5, 10, 37, 74, 185, 370

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,370,708,750,993, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

370:2x 5x 37

708:2x 2x 3x 59

750:2x 3x 5x 5x 5

993:3x 331

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 191387910510000/(1x540)

LCM = 191387910510000/540

LCM = 354422056500

Thus, we can understand that the LCM of 981,370,708,750,993 is 354422056500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 370, 708, 750, 993

1. What is the LCM of 981, 370, 708, 750, 993?

Answer: LCM of 981, 370, 708, 750, 993 is 354422056500.

2. How to calculate the LCM of 981, 370, 708, 750, 993?

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 981, 370, 708, 750, 993.

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}.