What is the LCM of 10, 100 and 1,000?

What's the Least Common Multiple (LCM) of 10, 100 and 1,000?

Answer

LCM of 10, 100 and 1,000 is

1,000

First common multiples: 1,000; 2,000; 3,000; …

1,000 is divisible by all three: 1,000 ÷ 10 = 100; 1,000 ÷ 100 = 10; 1,000 ÷ 1,000 = 1 — and 100, 10 and 1 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 100 and of y/100 by 10.

10 = 2 × 5

100 = 2² × 5²

1,000 = 2³ × 5³

Prime	10	100	1,000	Highest power
2	2	2²	2³	2³
5	5	5²	5³	5³

LCM = 2³ × 5³ = 1,000

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
10	100	985	19,700
10	100	986	49,300
10	100	987	98,700
10	100	988	24,700
10	100	989	98,900
10	100	990	9,900
10	100	991	99,100
10	100	992	24,800
10	100	993	99,300
10	100	994	49,700
10	100	995	19,900
10	100	996	24,900
10	100	997	99,700
10	100	998	49,900
10	100	999	99,900
10	100	1,000	1,000
10	100	1,001	100,100
10	100	1,002	50,100
10	100	1,003	100,300
10	100	1,004	25,100
10	100	1,005	20,100
10	100	1,006	50,300
10	100	1,007	100,700
10	100	1,008	25,200
10	100	1,009	100,900
10	100	1,010	10,100
10	100	1,011	101,100
10	100	1,012	25,300
10	100	1,013	101,300
10	100	1,014	50,700

LCM for 10, 100 and 1,000

What's the Least Common Multiple (LCM) of 10, 100 and 1,000?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 100 and 1,000?

How to find the LCM of 10, 100 and 1,000 by prime factorization?

Can you get the LCM of 10, 100 and 1,000 two numbers at a time?

Is 1,000 divisible by 10, 100 and 1,000?

See Also