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LCM of 1844, 7860

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


Find the LCM of 1844, 7860 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 1844, 7860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1844,7860

Given numbers are 1844,7860

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

The LCM of 1844,7860 is 3623460.

Find LCM of 1844,7860 with Prime Factorization


2 1844, 7860
2 922, 3930
461, 1965

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

2 x 2 x 461 x 1965 = 3623460

Therefore, the lowest common multiple of 1844,7860 is 3623460.

LCM Formula to Find Lowest Common Multiple of 1844,7860

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.

1844 x 7860 = 14493840

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.

1844 : 1, 2, 4, 461, 922, 1844

7860 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1844,7860, is 4.

Now, the common factors can be found like this.

1844:2x 2x 461

7860:2x 2x 3x 5x 131

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

= 1

Therefore, the value for common factors is 1.

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 = 14493840/(4x1)

LCM = 14493840/4

LCM = 3623460

Thus, we can understand that the LCM of 1844,7860 is 3623460.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1844, 7860

1. What is the LCM of 1844, 7860?

Answer: LCM of 1844, 7860 is 3623460.

2. How to calculate the LCM of 1844, 7860?

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 1844, 7860.

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}.