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LCM of 703, 926, 221, 194, 740

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


Find the LCM of 703, 926, 221, 194, 740 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 703, 926, 221, 194, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,926,221,194,740

Given numbers are 703,926,221,194,740

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

The LCM of 703,926,221,194,740 is 139550153860.

Find LCM of 703,926,221,194,740 with Prime Factorization


2 703, 926, 221, 194, 740
37 703, 463, 221, 97, 370
19, 463, 221, 97, 10

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

2 x 37 x 19 x 463 x 221 x 97 x 10 = 139550153860

Therefore, the lowest common multiple of 703,926,221,194,740 is 139550153860.

LCM Formula to Find Lowest Common Multiple of 703,926,221,194,740

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.

703 x 926 x 221 x 194 x 740 = 20653422771280

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.

703 : 1, 19, 37, 703

926 : 1, 2, 463, 926

221 : 1, 13, 17, 221

194 : 1, 2, 97, 194

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,926,221,194,740, is 1.

Now, the common factors can be found like this.

703:19x 37

926:2x 463

221:13x 17

194:2x 97

740:2x 2x 5x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 20653422771280/(1x148)

LCM = 20653422771280/148

LCM = 139550153860

Thus, we can understand that the LCM of 703,926,221,194,740 is 139550153860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 926, 221, 194, 740

1. What is the LCM of 703, 926, 221, 194, 740?

Answer: LCM of 703, 926, 221, 194, 740 is 139550153860.

2. How to calculate the LCM of 703, 926, 221, 194, 740?

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 703, 926, 221, 194, 740.

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}.