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LCM of 923, 210, 185, 157, 865

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


Find the LCM of 923, 210, 185, 157, 865 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 923, 210, 185, 157, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,210,185,157,865

Given numbers are 923,210,185,157,865

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

The LCM of 923,210,185,157,865 is 194790815310.

Find LCM of 923,210,185,157,865 with Prime Factorization


5 923, 210, 185, 157, 865
923, 42, 37, 157, 173

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

5 x 923 x 42 x 37 x 157 x 173 = 194790815310

Therefore, the lowest common multiple of 923,210,185,157,865 is 194790815310.

LCM Formula to Find Lowest Common Multiple of 923,210,185,157,865

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.

923 x 210 x 185 x 157 x 865 = 4869770382750

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.

923 : 1, 13, 71, 923

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

185 : 1, 5, 37, 185

157 : 1, 157

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,210,185,157,865, is 1.

Now, the common factors can be found like this.

923:13x 71

210:2x 3x 5x 7

185:5x 37

157:157

865:5x 173

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 4869770382750/(1x25)

LCM = 4869770382750/25

LCM = 194790815310

Thus, we can understand that the LCM of 923,210,185,157,865 is 194790815310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 210, 185, 157, 865

1. What is the LCM of 923, 210, 185, 157, 865?

Answer: LCM of 923, 210, 185, 157, 865 is 194790815310.

2. How to calculate the LCM of 923, 210, 185, 157, 865?

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 923, 210, 185, 157, 865.

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}.