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LCM of 142, 436, 897, 781

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


Find the LCM of 142, 436, 897, 781 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 142, 436, 897, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,436,897,781

Given numbers are 142,436,897,781

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

The LCM of 142,436,897,781 is 305442852.

Find LCM of 142,436,897,781 with Prime Factorization


2 142, 436, 897, 781
71 71, 218, 897, 781
1, 218, 897, 11

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

2 x 71 x 1 x 218 x 897 x 11 = 305442852

Therefore, the lowest common multiple of 142,436,897,781 is 305442852.

LCM Formula to Find Lowest Common Multiple of 142,436,897,781

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.

142 x 436 x 897 x 781 = 43372884984

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.

142 : 1, 2, 71, 142

436 : 1, 2, 4, 109, 218, 436

897 : 1, 3, 13, 23, 39, 69, 299, 897

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,436,897,781, is 1.

Now, the common factors can be found like this.

142:2x 71

436:2x 2x 109

897:3x 13x 23

781:11x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 43372884984/(1x142)

LCM = 43372884984/142

LCM = 305442852

Thus, we can understand that the LCM of 142,436,897,781 is 305442852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 436, 897, 781

1. What is the LCM of 142, 436, 897, 781?

Answer: LCM of 142, 436, 897, 781 is 305442852.

2. How to calculate the LCM of 142, 436, 897, 781?

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 142, 436, 897, 781.

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}.