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LCM of 269, 781, 715, 987

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


Find the LCM of 269, 781, 715, 987 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 269, 781, 715, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,781,715,987

Given numbers are 269,781,715,987

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

The LCM of 269,781,715,987 is 13478259795.

Find LCM of 269,781,715,987 with Prime Factorization


11 269, 781, 715, 987
269, 71, 65, 987

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

11 x 269 x 71 x 65 x 987 = 13478259795

Therefore, the lowest common multiple of 269,781,715,987 is 13478259795.

LCM Formula to Find Lowest Common Multiple of 269,781,715,987

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.

269 x 781 x 715 x 987 = 148260857745

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.

269 : 1, 269

781 : 1, 11, 71, 781

715 : 1, 5, 11, 13, 55, 65, 143, 715

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,781,715,987, is 1.

Now, the common factors can be found like this.

269:269

781:11x 71

715:5x 11x 13

987:3x 7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 148260857745/(1x11)

LCM = 148260857745/11

LCM = 13478259795

Thus, we can understand that the LCM of 269,781,715,987 is 13478259795.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 781, 715, 987

1. What is the LCM of 269, 781, 715, 987?

Answer: LCM of 269, 781, 715, 987 is 13478259795.

2. How to calculate the LCM of 269, 781, 715, 987?

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 269, 781, 715, 987.

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}.