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LCM of 967, 356, 677, 142

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


Find the LCM of 967, 356, 677, 142 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 967, 356, 677, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,356,677,142

Given numbers are 967,356,677,142

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

The LCM of 967,356,677,142 is 16547160884.

Find LCM of 967,356,677,142 with Prime Factorization


2 967, 356, 677, 142
967, 178, 677, 71

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

2 x 967 x 178 x 677 x 71 = 16547160884

Therefore, the lowest common multiple of 967,356,677,142 is 16547160884.

LCM Formula to Find Lowest Common Multiple of 967,356,677,142

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.

967 x 356 x 677 x 142 = 33094321768

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.

967 : 1, 967

356 : 1, 2, 4, 89, 178, 356

677 : 1, 677

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,356,677,142, is 1.

Now, the common factors can be found like this.

967:967

356:2x 2x 89

677:677

142:2x 71

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 = 33094321768/(1x2)

LCM = 33094321768/2

LCM = 16547160884

Thus, we can understand that the LCM of 967,356,677,142 is 16547160884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 356, 677, 142

1. What is the LCM of 967, 356, 677, 142?

Answer: LCM of 967, 356, 677, 142 is 16547160884.

2. How to calculate the LCM of 967, 356, 677, 142?

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 967, 356, 677, 142.

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}.