Least Common Multiple of 146/325, 348/981, 548/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/325, 348/981, 548/336 quickly i.e. 3480348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/325, 348/981, 548/336 is 3480348.

LCM(146/325, 348/981, 548/336) = 3480348

LCM of 146/325, 348/981, 548/336

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 146/325,348/981,548/336

Given numbers are 146/325,348/981,548/336

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 146,348,548

Least Common Multiple of Numerators i.e. LCM of 146,348,548 is 3480348.

GCF of Denominators means GCF of 325,981,336 as per the given fractions.

GCF of 325,981,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,348,548

LCM of Fractions 146/325,348/981,548/336 is 3480348

2 146, 348, 548
2 73, 174, 274
73, 87, 137

∴ So the LCM of the given numbers is 2 x 2 x 73 x 87 x 137 = 3480348

Least Common Multiple of 146,348,548 with GCF Formula

Least Common Multiple of 146,348,548 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 146,348,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,348,548) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(146,348,548) x common factors =2 x 4 = 8

LCM(146,348,548) = ( 146 × 348 × 548 ) / 8

LCM(146,348,548) = 27842784 / 8

LCM(146,348,548) = 3480348


Lets's calculate GCF of 325,981,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480348/1

Therefore the LCM of Fractions 146/325,348/981,548/336 is 3480348

Greatest Common Factor of 325,981,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,981,336 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 325,981,336 . The biggest common factor number is the GCF number.
So the greatest common factor 325,981,336 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 146/325, 348/981, 548/336

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 146/325, 348/981, 548/336?

Answer: LCM of Numerators as per given numbers 146/325, 348/981, 548/336 is

LCM of Numerators i.e. for 146,348,548 is 3480348

GCF of denominators i.e. for 325,981,336 is 1.

Thus, LCM of Fractions is 3480348.Finally, LCM of Fractions for 146/325, 348/981, 548/336 is 3480348.