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LCM of 970, 785, 649, 576, 473

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


Find the LCM of 970, 785, 649, 576, 473 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 970, 785, 649, 576, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,785,649,576,473

Given numbers are 970,785,649,576,473

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

The LCM of 970,785,649,576,473 is 1223987624640.

Find LCM of 970,785,649,576,473 with Prime Factorization


2 970, 785, 649, 576, 473
5 485, 785, 649, 288, 473
11 97, 157, 649, 288, 473
97, 157, 59, 288, 43

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

2 x 5 x 11 x 97 x 157 x 59 x 288 x 43 = 1223987624640

Therefore, the lowest common multiple of 970,785,649,576,473 is 1223987624640.

LCM Formula to Find Lowest Common Multiple of 970,785,649,576,473

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.

970 x 785 x 649 x 576 x 473 = 134638638710400

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

785 : 1, 5, 157, 785

649 : 1, 11, 59, 649

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,785,649,576,473, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

785:5x 157

649:11x 59

576:2x 2x 2x 2x 2x 2x 3x 3

473:11x 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 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 134638638710400/(1x110)

LCM = 134638638710400/110

LCM = 1223987624640

Thus, we can understand that the LCM of 970,785,649,576,473 is 1223987624640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 785, 649, 576, 473

1. What is the LCM of 970, 785, 649, 576, 473?

Answer: LCM of 970, 785, 649, 576, 473 is 1223987624640.

2. How to calculate the LCM of 970, 785, 649, 576, 473?

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 970, 785, 649, 576, 473.

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}.