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LCM of 703, 185, 148, 518

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


Find the LCM of 703, 185, 148, 518 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, 185, 148, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,185,148,518

Given numbers are 703,185,148,518

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

The LCM of 703,185,148,518 is 98420.

Find LCM of 703,185,148,518 with Prime Factorization


2 703, 185, 148, 518
37 703, 185, 74, 259
19, 5, 2, 7

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

2 x 37 x 19 x 5 x 2 x 7 = 98420

Therefore, the lowest common multiple of 703,185,148,518 is 98420.

LCM Formula to Find Lowest Common Multiple of 703,185,148,518

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 185 x 148 x 518 = 9970536520

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

185 : 1, 5, 37, 185

148 : 1, 2, 4, 37, 74, 148

518 : 1, 2, 7, 14, 37, 74, 259, 518

37 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,185,148,518, is 37.

Now, the common factors can be found like this.

703:19x 37

185:5x 37

148:2x 2x 37

518:2x 7x 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 37x 37 = 2738

Therefore, the value for common factors is 2738.

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 = 9970536520/(37x2738)

LCM = 9970536520/101306

LCM = 98420

Thus, we can understand that the LCM of 703,185,148,518 is 98420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 185, 148, 518

1. What is the LCM of 703, 185, 148, 518?

Answer: LCM of 703, 185, 148, 518 is 98420.

2. How to calculate the LCM of 703, 185, 148, 518?

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, 185, 148, 518.

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}.