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LCM of 7702, 1674

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


Find the LCM of 7702, 1674 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 7702, 1674. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7702,1674

Given numbers are 7702,1674

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

The LCM of 7702,1674 is 6446574.

Find LCM of 7702,1674 with Prime Factorization


2 7702, 1674
3851, 837

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

2 x 3851 x 837 = 6446574

Therefore, the lowest common multiple of 7702,1674 is 6446574.

LCM Formula to Find Lowest Common Multiple of 7702,1674

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.

7702 x 1674 = 12893148

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.

7702 : 1, 2, 3851, 7702

1674 : 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7702,1674, is 2.

Now, the common factors can be found like this.

7702:2x 3851

1674:2x 3x 3x 3x 31

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 = 12893148/(2x1)

LCM = 12893148/2

LCM = 6446574

Thus, we can understand that the LCM of 7702,1674 is 6446574.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7702, 1674

1. What is the LCM of 7702, 1674?

Answer: LCM of 7702, 1674 is 6446574.

2. How to calculate the LCM of 7702, 1674?

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 7702, 1674.

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}.