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LCM of 125, 438, 944, 942

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


Find the LCM of 125, 438, 944, 942 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 125, 438, 944, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 125,438,944,942

Given numbers are 125,438,944,942

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

The LCM of 125,438,944,942 is 4057194000.

Find LCM of 125,438,944,942 with Prime Factorization


2 125, 438, 944, 942
3 125, 219, 472, 471
125, 73, 472, 157

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

2 x 3 x 125 x 73 x 472 x 157 = 4057194000

Therefore, the lowest common multiple of 125,438,944,942 is 4057194000.

LCM Formula to Find Lowest Common Multiple of 125,438,944,942

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.

125 x 438 x 944 x 942 = 48686328000

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.

125 : 1, 5, 25, 125

438 : 1, 2, 3, 6, 73, 146, 219, 438

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,438,944,942, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

438:2x 3x 73

944:2x 2x 2x 2x 59

942:2x 3x 157

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 3 = 12

Therefore, the value for common factors is 12.

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 = 48686328000/(1x12)

LCM = 48686328000/12

LCM = 4057194000

Thus, we can understand that the LCM of 125,438,944,942 is 4057194000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 125, 438, 944, 942

1. What is the LCM of 125, 438, 944, 942?

Answer: LCM of 125, 438, 944, 942 is 4057194000.

2. How to calculate the LCM of 125, 438, 944, 942?

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 125, 438, 944, 942.

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}.