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# Find the sum of all the multiples of 3 or 5 below 1000?

Updated: 4/28/2022

Wiki User

11y ago

Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:

Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).

Similarly for all the multiples of 5 (5, 10, ... 995).

Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.

Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:

Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).

Similarly for all the multiples of 5 (5, 10, ... 995).

Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.

Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:

Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).

Similarly for all the multiples of 5 (5, 10, ... 995).

Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.

Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:

Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).

Similarly for all the multiples of 5 (5, 10, ... 995).

Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.

Wiki User

11y ago

Wiki User

11y ago

Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:

Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).

Similarly for all the multiples of 5 (5, 10, ... 995).