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LCM of 922, 703, 209, 473

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


Find the LCM of 922, 703, 209, 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 922, 703, 209, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,703,209,473

Given numbers are 922,703,209,473

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

The LCM of 922,703,209,473 is 306582518.

Find LCM of 922,703,209,473 with Prime Factorization


11 922, 703, 209, 473
19 922, 703, 19, 43
922, 37, 1, 43

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

11 x 19 x 922 x 37 x 1 x 43 = 306582518

Therefore, the lowest common multiple of 922,703,209,473 is 306582518.

LCM Formula to Find Lowest Common Multiple of 922,703,209,473

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.

922 x 703 x 209 x 473 = 64075746262

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.

922 : 1, 2, 461, 922

703 : 1, 19, 37, 703

209 : 1, 11, 19, 209

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,703,209,473, is 1.

Now, the common factors can be found like this.

922:2x 461

703:19x 37

209:11x 19

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.

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 64075746262/(1x209)

LCM = 64075746262/209

LCM = 306582518

Thus, we can understand that the LCM of 922,703,209,473 is 306582518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 703, 209, 473

1. What is the LCM of 922, 703, 209, 473?

Answer: LCM of 922, 703, 209, 473 is 306582518.

2. How to calculate the LCM of 922, 703, 209, 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 922, 703, 209, 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}.