Least Common Multiple of 61/314, 248/836, 112/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/314, 248/836, 112/597 quickly i.e. 211792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/314, 248/836, 112/597 is 211792.

LCM(61/314, 248/836, 112/597) = 211792

LCM of 61/314, 248/836, 112/597

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 61/314,248/836,112/597

Given numbers are 61/314,248/836,112/597

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 61,248,112

Least Common Multiple of Numerators i.e. LCM of 61,248,112 is 211792.

GCF of Denominators means GCF of 314,836,597 as per the given fractions.

GCF of 314,836,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,248,112

LCM of Fractions 61/314,248/836,112/597 is 211792

2 61, 248, 112
2 61, 124, 56
2 61, 62, 28
61, 31, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 31 x 14 = 211792

Least Common Multiple of 61,248,112 with GCF Formula

Least Common Multiple of 61,248,112 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 61,248,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,248,112) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(61,248,112) x common factors =1 x 8 = 8

LCM(61,248,112) = ( 61 × 248 × 112 ) / 8

LCM(61,248,112) = 1694336 / 8

LCM(61,248,112) = 211792


Lets's calculate GCF of 314,836,597

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211792/1

Therefore the LCM of Fractions 61/314,248/836,112/597 is 211792

Greatest Common Factor of 314,836,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,836,597 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 314,836,597 . The biggest common factor number is the GCF number.
So the greatest common factor 314,836,597 is 1.


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 61/314, 248/836, 112/597

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 61/314, 248/836, 112/597?

Answer: LCM of Numerators as per given numbers 61/314, 248/836, 112/597 is

LCM of Numerators i.e. for 61,248,112 is 211792

GCF of denominators i.e. for 314,836,597 is 1.

Thus, LCM of Fractions is 211792.Finally, LCM of Fractions for 61/314, 248/836, 112/597 is 211792.