Question

What is the smallest number which when increased by 3 is exactly divisible by 21 ,27,and 35

Answer 1

Answer:

So the LCM is 3^3 x 5^2 x 7 = 4,725. Since the number sought needs to be increased by 3 to become 4,725, so that number is 4,725 - 3 = 4,722.

Answer 2

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ʷʰᵃᵗ ⁱˢ ᵗʰᵉ ˢᵐᵃˡˡᵉˢᵗ ⁿᵘᵐᵇᵉʳ ʷʰⁱᶜʰ ʷʰᵉⁿ ⁱⁿᶜʳᵉᵃˢᵉᵈ ᵇʸ 3 ⁱˢ ᵈⁱᵛⁱˢⁱᵇˡᵉ ᵇʸ 27, 35, 25 ᵃⁿᵈ 21?

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ᴛʜᴇ LCM ɪs 3^3 x 5^2 x 7 = 4,725. Sɪɴᴄᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀ sᴏᴜɢʜᴛ ɴᴇᴇᴅs ᴛᴏ ʙᴇ ɪɴᴄʀᴇᴀsᴇᴅ ʙʏ 3 ᴛᴏ ʙᴇᴄᴏᴍᴇ 4,725, sᴏ ᴛʜᴀᴛ ɴᴜᴍʙᴇʀ ɪs 4,725 - 3 = 4,722.

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