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LCM of 3955, 7684

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


Find the LCM of 3955, 7684 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 3955, 7684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3955,7684

Given numbers are 3955,7684

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

The LCM of 3955,7684 is 268940.

Find LCM of 3955,7684 with Prime Factorization


113 3955, 7684
35, 68

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

113 x 35 x 68 = 268940

Therefore, the lowest common multiple of 3955,7684 is 268940.

LCM Formula to Find Lowest Common Multiple of 3955,7684

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.

3955 x 7684 = 30390220

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.

3955 : 1, 5, 7, 35, 113, 565, 791, 3955

7684 : 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

113 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3955,7684, is 113.

Now, the common factors can be found like this.

3955:5x 7x 113

7684:2x 2x 17x 113

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 = 30390220/(113x1)

LCM = 30390220/113

LCM = 268940

Thus, we can understand that the LCM of 3955,7684 is 268940.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3955, 7684

1. What is the LCM of 3955, 7684?

Answer: LCM of 3955, 7684 is 268940.

2. How to calculate the LCM of 3955, 7684?

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 3955, 7684.

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}.