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LCM of 186, 703, 969, 752

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


Find the LCM of 186, 703, 969, 752 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 186, 703, 969, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 186,703,969,752

Given numbers are 186,703,969,752

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

The LCM of 186,703,969,752 is 835805136.

Find LCM of 186,703,969,752 with Prime Factorization


2 186, 703, 969, 752
3 93, 703, 969, 376
19 31, 703, 323, 376
31, 37, 17, 376

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

2 x 3 x 19 x 31 x 37 x 17 x 376 = 835805136

Therefore, the lowest common multiple of 186,703,969,752 is 835805136.

LCM Formula to Find Lowest Common Multiple of 186,703,969,752

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.

186 x 703 x 969 x 752 = 95281785504

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.

186 : 1, 2, 3, 6, 31, 62, 93, 186

703 : 1, 19, 37, 703

969 : 1, 3, 17, 19, 51, 57, 323, 969

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,703,969,752, is 1.

Now, the common factors can be found like this.

186:2x 3x 31

703:19x 37

969:3x 17x 19

752:2x 2x 2x 2x 47

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 95281785504/(1x114)

LCM = 95281785504/114

LCM = 835805136

Thus, we can understand that the LCM of 186,703,969,752 is 835805136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 186, 703, 969, 752

1. What is the LCM of 186, 703, 969, 752?

Answer: LCM of 186, 703, 969, 752 is 835805136.

2. How to calculate the LCM of 186, 703, 969, 752?

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 186, 703, 969, 752.

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}.