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LCM of 154, 209, 674, 735

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


Find the LCM of 154, 209, 674, 735 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 154, 209, 674, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,209,674,735

Given numbers are 154,209,674,735

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

The LCM of 154,209,674,735 is 103536510.

Find LCM of 154,209,674,735 with Prime Factorization


2 154, 209, 674, 735
7 77, 209, 337, 735
11 11, 209, 337, 105
1, 19, 337, 105

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

2 x 7 x 11 x 1 x 19 x 337 x 105 = 103536510

Therefore, the lowest common multiple of 154,209,674,735 is 103536510.

LCM Formula to Find Lowest Common Multiple of 154,209,674,735

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.

154 x 209 x 674 x 735 = 15944622540

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

209 : 1, 11, 19, 209

674 : 1, 2, 337, 674

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,209,674,735, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

209:11x 19

674:2x 337

735:3x 5x 7x 7

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

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 15944622540/(1x154)

LCM = 15944622540/154

LCM = 103536510

Thus, we can understand that the LCM of 154,209,674,735 is 103536510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 209, 674, 735

1. What is the LCM of 154, 209, 674, 735?

Answer: LCM of 154, 209, 674, 735 is 103536510.

2. How to calculate the LCM of 154, 209, 674, 735?

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 154, 209, 674, 735.

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}.