Question

Find the HCF and LCM of 510 and 92 and verify that HCF × LCM = Product of two given numbers.

Answer 1

ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀs ᴀʀᴇ 510 ᴀɴᴅ 92 ʙʏ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀɪsᴀᴛɪᴏɴ 510 = 2 x 3 x 5 x 17 92 = 2 x 2 x 23 ʟᴄᴍ (510 ᴀɴᴅ 92 ) = 2 x 2 x 3 x 5 x 17 x 23=23460 ʜᴄғ (510 ᴀɴᴅ 92) = 2 ɴᴏᴡ ʜᴄғ x ʟᴄᴍ = 23460 x 2 = 46920 ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀs = 510 x 92= 46920 ∴ ʜᴄғ x ʟᴄᴍ = ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀs

Answer 2

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