What is the LCM of 50 and 245?

What's the Least Common Multiple (LCM) of 50 and 245?

Answer

LCM of 50 and 245 is

2,450

First common multiples: 2,450; 4,900; 7,350; …

2,450 is divisible by both: 2,450 ÷ 50 = 49; 2,450 ÷ 245 = 10 — and 49 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 49 and of y/245 by 10.

50 = 2 × 5²

245 = 5 × 7²

Prime	50	245	Highest power
2	2	—	2
5	5²	5	5²
7	—	7²	7²

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 5² × 7² = 2,450

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What is the LCM of 50 and 245? The LCM of 50 and 245 is 2,450 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/50--245/generated.jpg

LCM Table

Number 1	Number 2	LCM
50	100	100
50	105	1,050
50	120	600
50	125	250
50	130	650
50	140	700
50	145	1,450
50	170	850
50	175	350
50	180	900
50	185	1,850
50	200	200
50	205	2,050
50	210	1,050
50	240	1,200
50	245	2,450
50	250	250
50	260	1,300
50	285	2,850
50	320	1,600
50	325	650
50	330	1,650
50	335	3,350
50	345	3,450
50	365	3,650
50	370	1,850
50	380	1,900
50	390	1,950
50	405	4,050
50	410	2,050

LCM for 50 and 245

What's the Least Common Multiple (LCM) of 50 and 245?

More with these numbers

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 50 and 245?

How to find the LCM of 50 and 245 using prime factorization?

What is the difference between LCM and GCF?

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