Least Common Multiple of 34/297, 905/438, 815/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/297, 905/438, 815/354 quickly i.e. 5015510/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/297, 905/438, 815/354 is 5015510/3.

LCM(34/297, 905/438, 815/354) = 5015510/3

LCM of 34/297, 905/438, 815/354

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 34/297,905/438,815/354

Given numbers are 34/297,905/438,815/354

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 34,905,815

Least Common Multiple of Numerators i.e. LCM of 34,905,815 is 5015510.

GCF of Denominators means GCF of 297,438,354 as per the given fractions.

GCF of 297,438,354 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,905,815

LCM of Fractions 34/297,905/438,815/354 is 5015510/3

5 34, 905, 815
34, 181, 163

∴ So the LCM of the given numbers is 5 x 34 x 181 x 163 = 5015510

Least Common Multiple of 34,905,815 with GCF Formula

Least Common Multiple of 34,905,815 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 34,905,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,905,815) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(34,905,815) x common factors =1 x 5 = 5

LCM(34,905,815) = ( 34 × 905 × 815 ) / 5

LCM(34,905,815) = 25077550 / 5

LCM(34,905,815) = 5015510


Lets's calculate GCF of 297,438,354

3 297, 438, 354
99, 146, 118

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5015510/3

Therefore the LCM of Fractions 34/297,905/438,815/354 is 5015510/3

Greatest Common Factor of 297,438,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,438,354 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 297,438,354 . The biggest common factor number is the GCF number.
So the greatest common factor 297,438,354 is 3.


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 34/297, 905/438, 815/354

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 34/297, 905/438, 815/354?

Answer: LCM of Numerators as per given numbers 34/297, 905/438, 815/354 is

LCM of Numerators i.e. for 34,905,815 is 5015510

GCF of denominators i.e. for 297,438,354 is 3.

Thus, LCM of Fractions is 5015510/3.Finally, LCM of Fractions for 34/297, 905/438, 815/354 is 5015510/3.