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LCM of 187, 189, 917, 942, 189

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


Find the LCM of 187, 189, 917, 942, 189 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 187, 189, 917, 942, 189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,189,917,942,189

Given numbers are 187,189,917,942,189

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

The LCM of 187,189,917,942,189 is 1453798962.

Find LCM of 187,189,917,942,189 with Prime Factorization


3 187, 189, 917, 942, 189
3 187, 63, 917, 314, 63
3 187, 21, 917, 314, 21
7 187, 7, 917, 314, 7
187, 1, 131, 314, 1

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

3 x 3 x 3 x 7 x 187 x 1 x 131 x 314 x 1 = 1453798962

Therefore, the lowest common multiple of 187,189,917,942,189 is 1453798962.

LCM Formula to Find Lowest Common Multiple of 187,189,917,942,189

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.

187 x 189 x 917 x 942 x 189 = 5770128080178

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.

187 : 1, 11, 17, 187

189 : 1, 3, 7, 9, 21, 27, 63, 189

917 : 1, 7, 131, 917

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,189,917,942,189, is 1.

Now, the common factors can be found like this.

187:11x 17

189:3x 3x 3x 7

917:7x 131

942:2x 3x 157

189:3x 3x 3x 7

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

3x 3x 3x 3x 7x 7 = 3969

Therefore, the value for common factors is 3969.

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 = 5770128080178/(1x3969)

LCM = 5770128080178/3969

LCM = 1453798962

Thus, we can understand that the LCM of 187,189,917,942,189 is 1453798962.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 189, 917, 942, 189

1. What is the LCM of 187, 189, 917, 942, 189?

Answer: LCM of 187, 189, 917, 942, 189 is 1453798962.

2. How to calculate the LCM of 187, 189, 917, 942, 189?

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 187, 189, 917, 942, 189.

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}.