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LCM of 153, 170, 677, 703, 274

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


Find the LCM of 153, 170, 677, 703, 274 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 153, 170, 677, 703, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,170,677,703,274

Given numbers are 153,170,677,703,274

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

The LCM of 153,170,677,703,274 is 99759896910.

Find LCM of 153,170,677,703,274 with Prime Factorization


2 153, 170, 677, 703, 274
17 153, 85, 677, 703, 137
9, 5, 677, 703, 137

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

2 x 17 x 9 x 5 x 677 x 703 x 137 = 99759896910

Therefore, the lowest common multiple of 153,170,677,703,274 is 99759896910.

LCM Formula to Find Lowest Common Multiple of 153,170,677,703,274

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.

153 x 170 x 677 x 703 x 274 = 3391836494940

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.

153 : 1, 3, 9, 17, 51, 153

170 : 1, 2, 5, 10, 17, 34, 85, 170

677 : 1, 677

703 : 1, 19, 37, 703

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,170,677,703,274, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

170:2x 5x 17

677:677

703:19x 37

274:2x 137

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 3391836494940/(1x34)

LCM = 3391836494940/34

LCM = 99759896910

Thus, we can understand that the LCM of 153,170,677,703,274 is 99759896910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 170, 677, 703, 274

1. What is the LCM of 153, 170, 677, 703, 274?

Answer: LCM of 153, 170, 677, 703, 274 is 99759896910.

2. How to calculate the LCM of 153, 170, 677, 703, 274?

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 153, 170, 677, 703, 274.

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}.