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LCM of 274, 642, 787, 995

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


Find the LCM of 274, 642, 787, 995 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 274, 642, 787, 995. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,642,787,995

Given numbers are 274,642,787,995

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

The LCM of 274,642,787,995 is 68873699010.

Find LCM of 274,642,787,995 with Prime Factorization


2 274, 642, 787, 995
137, 321, 787, 995

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

2 x 137 x 321 x 787 x 995 = 68873699010

Therefore, the lowest common multiple of 274,642,787,995 is 68873699010.

LCM Formula to Find Lowest Common Multiple of 274,642,787,995

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.

274 x 642 x 787 x 995 = 137747398020

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.

274 : 1, 2, 137, 274

642 : 1, 2, 3, 6, 107, 214, 321, 642

787 : 1, 787

995 : 1, 5, 199, 995

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,642,787,995, is 1.

Now, the common factors can be found like this.

274:2x 137

642:2x 3x 107

787:787

995:5x 199

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

2 = 2

Therefore, the value for common factors is 2.

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 = 137747398020/(1x2)

LCM = 137747398020/2

LCM = 68873699010

Thus, we can understand that the LCM of 274,642,787,995 is 68873699010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 642, 787, 995

1. What is the LCM of 274, 642, 787, 995?

Answer: LCM of 274, 642, 787, 995 is 68873699010.

2. How to calculate the LCM of 274, 642, 787, 995?

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 274, 642, 787, 995.

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}.