Wait—suppose the problem said “divisible by 7, 8, and 9â€? LCM=504—still four-digit.

Fri, 17 Apr 2026 02:13:31 +0000

### Understanding Numbers Divisible by 7, 8, and 9: Why LCM=504 Remains a Four-Digit Number When exploring numbers divisible by multiple factors like 7, 8, and 9, one key concept is the Least Common Multiple (LCM). For the specific case of numbers divisible by 7, 8, and 9, the LCM equals 504—and despite being a four-digit number, it remains important in modular arithmetic, scheduling, and divisibility studies. In this article, we break down why numbers divisible by 7, 8, and 9 combine neatly to 504, and why this LCM is still relatively small compared to its four-digit prominence. --- ### What Does “Divisible by 7, 8, and 9” Truly Mean?