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LCM of 770, 3454

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


Find the LCM of 770, 3454 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 770, 3454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,3454

Given numbers are 770,3454

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

The LCM of 770,3454 is 120890.

Find LCM of 770,3454 with Prime Factorization


2 770, 3454
11 385, 1727
35, 157

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

2 x 11 x 35 x 157 = 120890

Therefore, the lowest common multiple of 770,3454 is 120890.

LCM Formula to Find Lowest Common Multiple of 770,3454

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.

770 x 3454 = 2659580

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

3454 : 1, 2, 11, 22, 157, 314, 1727, 3454

22 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,3454, is 22.

Now, the common factors can be found like this.

770:2x 5x 7x 11

3454:2x 11x 157

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 = 2659580/(22x1)

LCM = 2659580/22

LCM = 120890

Thus, we can understand that the LCM of 770,3454 is 120890.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 770, 3454

1. What is the LCM of 770, 3454?

Answer: LCM of 770, 3454 is 120890.

2. How to calculate the LCM of 770, 3454?

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 770, 3454.

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}.