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LCM of 772, 703, 276, 129

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


Find the LCM of 772, 703, 276, 129 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 772, 703, 276, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,703,276,129

Given numbers are 772,703,276,129

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

The LCM of 772,703,276,129 is 1610238372.

Find LCM of 772,703,276,129 with Prime Factorization


2 772, 703, 276, 129
2 386, 703, 138, 129
3 193, 703, 69, 129
193, 703, 23, 43

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

2 x 2 x 3 x 193 x 703 x 23 x 43 = 1610238372

Therefore, the lowest common multiple of 772,703,276,129 is 1610238372.

LCM Formula to Find Lowest Common Multiple of 772,703,276,129

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.

772 x 703 x 276 x 129 = 19322860464

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.

772 : 1, 2, 4, 193, 386, 772

703 : 1, 19, 37, 703

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,703,276,129, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

703:19x 37

276:2x 2x 3x 23

129:3x 43

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 19322860464/(1x12)

LCM = 19322860464/12

LCM = 1610238372

Thus, we can understand that the LCM of 772,703,276,129 is 1610238372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 703, 276, 129

1. What is the LCM of 772, 703, 276, 129?

Answer: LCM of 772, 703, 276, 129 is 1610238372.

2. How to calculate the LCM of 772, 703, 276, 129?

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 772, 703, 276, 129.

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}.