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LCM of 490, 545, 703, 303

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


Find the LCM of 490, 545, 703, 303 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 490, 545, 703, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 490,545,703,303

Given numbers are 490,545,703,303

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

The LCM of 490,545,703,303 is 11376810690.

Find LCM of 490,545,703,303 with Prime Factorization


5 490, 545, 703, 303
98, 109, 703, 303

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

5 x 98 x 109 x 703 x 303 = 11376810690

Therefore, the lowest common multiple of 490,545,703,303 is 11376810690.

LCM Formula to Find Lowest Common Multiple of 490,545,703,303

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.

490 x 545 x 703 x 303 = 56884053450

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

545 : 1, 5, 109, 545

703 : 1, 19, 37, 703

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,545,703,303, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

545:5x 109

703:19x 37

303:3x 101

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

5 = 5

Therefore, the value for common factors is 5.

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 = 56884053450/(1x5)

LCM = 56884053450/5

LCM = 11376810690

Thus, we can understand that the LCM of 490,545,703,303 is 11376810690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 490, 545, 703, 303

1. What is the LCM of 490, 545, 703, 303?

Answer: LCM of 490, 545, 703, 303 is 11376810690.

2. How to calculate the LCM of 490, 545, 703, 303?

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 490, 545, 703, 303.

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}.