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LCM of 840, 314, 471

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


Find the LCM of 840, 314, 471 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 840, 314, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 840,314,471

Given numbers are 840,314,471

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

The LCM of 840,314,471 is 131880.

Find LCM of 840,314,471 with Prime Factorization


2 840, 314, 471
3 420, 157, 471
157 140, 157, 157
140, 1, 1

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

2 x 3 x 157 x 140 x 1 x 1 = 131880

Therefore, the lowest common multiple of 840,314,471 is 131880.

LCM Formula to Find Lowest Common Multiple of 840,314,471

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.

840 x 314 x 471 = 124230960

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

314 : 1, 2, 157, 314

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,314,471, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

314:2x 157

471:3x 157

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 157 = 942

Therefore, the value for common factors is 942.

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 = 124230960/(1x942)

LCM = 124230960/942

LCM = 131880

Thus, we can understand that the LCM of 840,314,471 is 131880.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 840, 314, 471

1. What is the LCM of 840, 314, 471?

Answer: LCM of 840, 314, 471 is 131880.

2. How to calculate the LCM of 840, 314, 471?

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 840, 314, 471.

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}.