Least Common Multiple of 334/44, 954/98, 214/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/44, 954/98, 214/476 quickly i.e. 8523513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/44, 954/98, 214/476 is 8523513.

LCM(334/44, 954/98, 214/476) = 8523513

LCM of 334/44, 954/98, 214/476

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 334/44,954/98,214/476

Given numbers are 334/44,954/98,214/476

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 334,954,214

Least Common Multiple of Numerators i.e. LCM of 334,954,214 is 17047026.

GCF of Denominators means GCF of 44,98,476 as per the given fractions.

GCF of 44,98,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,954,214

LCM of Fractions 334/44,954/98,214/476 is 8523513

2 334, 954, 214
167, 477, 107

∴ So the LCM of the given numbers is 2 x 167 x 477 x 107 = 17047026

Least Common Multiple of 334,954,214 with GCF Formula

Least Common Multiple of 334,954,214 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 334,954,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,954,214) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(334,954,214) x common factors =2 x 2 = 4

LCM(334,954,214) = ( 334 × 954 × 214 ) / 4

LCM(334,954,214) = 68188104 / 4

LCM(334,954,214) = 17047026


Lets's calculate GCF of 44,98,476

2 44, 98, 476
22, 49, 238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17047026/2

Therefore the LCM of Fractions 334/44,954/98,214/476 is 8523513

Greatest Common Factor of 44,98,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,98,476 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 44,98,476 . The biggest common factor number is the GCF number.
So the greatest common factor 44,98,476 is 2.


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 334/44, 954/98, 214/476

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 334/44, 954/98, 214/476?

Answer: LCM of Numerators as per given numbers 334/44, 954/98, 214/476 is

LCM of Numerators i.e. for 334,954,214 is 17047026

GCF of denominators i.e. for 44,98,476 is 2.

Thus, LCM of Fractions is 8523513.Finally, LCM of Fractions for 334/44, 954/98, 214/476 is 8523513.