Least Common Multiple of 334/56, 298/2200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/56, 298/2200 quickly i.e. 49766/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/56, 298/2200 is 49766/8.

LCM(334/56, 298/2200) = 49766/8

LCM of 334/56, 298/2200

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 334/56,298/2200

Given numbers are 334/56,298/2200

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 334,298

Least Common Multiple of Numerators i.e. LCM of 334,298 is 49766.

GCF of Denominators means GCF of 56,2200 as per the given fractions.

GCF of 56,2200 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,298

LCM of Fractions 334/56,298/2200 is 49766/8

2 334, 298
167, 149

∴ So the LCM of the given numbers is 2 x 167 x 149 = 49766

Least Common Multiple of 334,298 with GCF Formula

Least Common Multiple of 334,298 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 334,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,298) = 2

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

GCF(334,298) x common factors =2 x 1 = 2

LCM(334,298) = ( 334 × 298 ) / 2

LCM(334,298) = 99532 / 2

LCM(334,298) = 49766


Lets's calculate GCF of 56,2200

2 56, 2200
2 28, 1100
2 14, 550
7, 275

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49766/8

Therefore the LCM of Fractions 334/56,298/2200 is 49766/8

Greatest Common Factor of 56,2200 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,2200 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Greatest Common Factor

We found the factors 56,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 56,2200 is 8.


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 334/56, 298/2200

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 334/56, 298/2200?

Answer: LCM of Numerators as per given numbers 334/56, 298/2200 is

LCM of Numerators i.e. for 334,298 is 49766

GCF of denominators i.e. for 56,2200 is 8.

Thus, LCM of Fractions is 49766/8.Finally, LCM of Fractions for 334/56, 298/2200 is 49766/8.