Given numbers are 679,287,238,269

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

The LCM of 679,287,238,269 is 254615494.

Find LCM of 679,287,238,269 with Prime Factorization

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

7 x 97 x 41 x 34 x 269 = 254615494

Therefore, the lowest common multiple of 679,287,238,269 is 254615494.

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.

679 x 287 x 238 x 269 = 12476159206

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.

679 : 1, 7, 97, 679

287 : 1, 7, 41, 287

238 : 1, 2, 7, 14, 17, 34, 119, 238

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,287,238,269, is 1.

Now, the common factors can be found like this.

679:7x 97

287:7x 41

238:2x 7x 17

269:269

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 12476159206/(1x49)

LCM = 12476159206/49

LCM = 254615494

Thus, we can understand that the LCM of 679,287,238,269 is 254615494.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 251, 971, 760, 291
• LCM of 748, 281, 763, 628
• LCM of 760, 883, 918, 681
• LCM of 419, 862, 389, 998
• LCM of 983, 243, 383, 132

1. What is the LCM of 679, 287, 238, 269?

Answer: LCM of 679, 287, 238, 269 is 254615494.

2. How to calculate the LCM of 679, 287, 238, 269?

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 679, 287, 238, 269.

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}.