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LCM of 471, 919, 314

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


Find the LCM of 471, 919, 314 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 471, 919, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,919,314

Given numbers are 471,919,314

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

The LCM of 471,919,314 is 865698.

Find LCM of 471,919,314 with Prime Factorization


157 471, 919, 314
3, 919, 2

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

157 x 3 x 919 x 2 = 865698

Therefore, the lowest common multiple of 471,919,314 is 865698.

LCM Formula to Find Lowest Common Multiple of 471,919,314

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.

471 x 919 x 314 = 135914586

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.

471 : 1, 3, 157, 471

919 : 1, 919

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,919,314, is 1.

Now, the common factors can be found like this.

471:3x 157

919:919

314:2x 157

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

157 = 157

Therefore, the value for common factors is 157.

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 = 135914586/(1x157)

LCM = 135914586/157

LCM = 865698

Thus, we can understand that the LCM of 471,919,314 is 865698.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 471, 919, 314

1. What is the LCM of 471, 919, 314?

Answer: LCM of 471, 919, 314 is 865698.

2. How to calculate the LCM of 471, 919, 314?

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 471, 919, 314.

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}.