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LCM of 840, 525, 876, 546, 750

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


Find the LCM of 840, 525, 876, 546, 750 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, 525, 876, 546, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 840,525,876,546,750

Given numbers are 840,525,876,546,750

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

The LCM of 840,525,876,546,750 is 19929000.

Find LCM of 840,525,876,546,750 with Prime Factorization


2 840, 525, 876, 546, 750
2 420, 525, 438, 273, 375
3 210, 525, 219, 273, 375
5 70, 175, 73, 91, 125
5 14, 35, 73, 91, 25
7 14, 7, 73, 91, 5
2, 1, 73, 13, 5

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

2 x 2 x 3 x 5 x 5 x 7 x 2 x 1 x 73 x 13 x 5 = 19929000

Therefore, the lowest common multiple of 840,525,876,546,750 is 19929000.

LCM Formula to Find Lowest Common Multiple of 840,525,876,546,750

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 525 x 876 x 546 x 750 = 158196402000000

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

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,525,876,546,750, is 3.

Now, the common factors can be found like this.

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

525:3x 5x 5x 7

876:2x 2x 3x 73

546:2x 3x 7x 13

750:2x 3x 5x 5x 5

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

2x 2x 2x 2x 3x 3x 3x 5x 5x 5x 7x 7 = 2646000

Therefore, the value for common factors is 2646000.

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 = 158196402000000/(3x2646000)

LCM = 158196402000000/7938000

LCM = 19929000

Thus, we can understand that the LCM of 840,525,876,546,750 is 19929000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 840, 525, 876, 546, 750

1. What is the LCM of 840, 525, 876, 546, 750?

Answer: LCM of 840, 525, 876, 546, 750 is 19929000.

2. How to calculate the LCM of 840, 525, 876, 546, 750?

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, 525, 876, 546, 750.

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}.