Least Common Multiple of 685/276, 348/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/276, 348/312 quickly i.e. 19865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/276, 348/312 is 19865.

LCM(685/276, 348/312) = 19865

LCM of 685/276, 348/312

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 685/276,348/312

Given numbers are 685/276,348/312

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 685,348

Least Common Multiple of Numerators i.e. LCM of 685,348 is 238380.

GCF of Denominators means GCF of 276,312 as per the given fractions.

GCF of 276,312 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,348

LCM of Fractions 685/276,348/312 is 19865

Given numbers has no common factors except 1. So, there LCM is their product i.e 238380

Least Common Multiple of 685,348 with GCF Formula

Least Common Multiple of 685,348 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 685,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,348) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(685,348) x common factors =1 x 1 = 1

LCM(685,348) = ( 685 × 348 ) / 1

LCM(685,348) = 238380 / 1

LCM(685,348) = 238380


Lets's calculate GCF of 276,312

2 276, 312
2 138, 156
3 69, 78
23, 26

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238380/12

Therefore the LCM of Fractions 685/276,348/312 is 19865

Greatest Common Factor of 276,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,312 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 276,312 . The biggest common factor number is the GCF number.
So the greatest common factor 276,312 is 12.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 685/276, 348/312

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 685/276, 348/312?

Answer: LCM of Numerators as per given numbers 685/276, 348/312 is

LCM of Numerators i.e. for 685,348 is 238380

GCF of denominators i.e. for 276,312 is 12.

Thus, LCM of Fractions is 19865.Finally, LCM of Fractions for 685/276, 348/312 is 19865.