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LCM of 935, 748, 102, 545

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


Find the LCM of 935, 748, 102, 545 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 935, 748, 102, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,748,102,545

Given numbers are 935,748,102,545

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

The LCM of 935,748,102,545 is 1222980.

Find LCM of 935,748,102,545 with Prime Factorization


2 935, 748, 102, 545
5 935, 374, 51, 545
11 187, 374, 51, 109
17 17, 34, 51, 109
1, 2, 3, 109

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

2 x 5 x 11 x 17 x 1 x 2 x 3 x 109 = 1222980

Therefore, the lowest common multiple of 935,748,102,545 is 1222980.

LCM Formula to Find Lowest Common Multiple of 935,748,102,545

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.

935 x 748 x 102 x 545 = 38878534200

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

102 : 1, 2, 3, 6, 17, 34, 51, 102

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,748,102,545, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

748:2x 2x 11x 17

102:2x 3x 17

545:5x 109

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 11x 17x 17 = 31790

Therefore, the value for common factors is 31790.

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 = 38878534200/(1x31790)

LCM = 38878534200/31790

LCM = 1222980

Thus, we can understand that the LCM of 935,748,102,545 is 1222980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 748, 102, 545

1. What is the LCM of 935, 748, 102, 545?

Answer: LCM of 935, 748, 102, 545 is 1222980.

2. How to calculate the LCM of 935, 748, 102, 545?

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 935, 748, 102, 545.

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}.