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LCM of 381, 865, 597, 157, 762

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


Find the LCM of 381, 865, 597, 157, 762 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 381, 865, 597, 157, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,865,597,157,762

Given numbers are 381,865,597,157,762

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

The LCM of 381,865,597,157,762 is 20593198590.

Find LCM of 381,865,597,157,762 with Prime Factorization


3 381, 865, 597, 157, 762
127 127, 865, 199, 157, 254
1, 865, 199, 157, 2

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

3 x 127 x 1 x 865 x 199 x 157 x 2 = 20593198590

Therefore, the lowest common multiple of 381,865,597,157,762 is 20593198590.

LCM Formula to Find Lowest Common Multiple of 381,865,597,157,762

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.

381 x 865 x 597 x 157 x 762 = 23538025988370

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.

381 : 1, 3, 127, 381

865 : 1, 5, 173, 865

597 : 1, 3, 199, 597

157 : 1, 157

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,865,597,157,762, is 1.

Now, the common factors can be found like this.

381:3x 127

865:5x 173

597:3x 199

157:157

762:2x 3x 127

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 127 = 1143

Therefore, the value for common factors is 1143.

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 = 23538025988370/(1x1143)

LCM = 23538025988370/1143

LCM = 20593198590

Thus, we can understand that the LCM of 381,865,597,157,762 is 20593198590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 865, 597, 157, 762

1. What is the LCM of 381, 865, 597, 157, 762?

Answer: LCM of 381, 865, 597, 157, 762 is 20593198590.

2. How to calculate the LCM of 381, 865, 597, 157, 762?

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 381, 865, 597, 157, 762.

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}.