Least Common Multiple of 149/474, 260/531, 425/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/474, 260/531, 425/354 quickly i.e. 3292900/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/474, 260/531, 425/354 is 3292900/3.

LCM(149/474, 260/531, 425/354) = 3292900/3

LCM of 149/474, 260/531, 425/354

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 149/474,260/531,425/354

Given numbers are 149/474,260/531,425/354

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 149,260,425

Least Common Multiple of Numerators i.e. LCM of 149,260,425 is 3292900.

GCF of Denominators means GCF of 474,531,354 as per the given fractions.

GCF of 474,531,354 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,260,425

LCM of Fractions 149/474,260/531,425/354 is 3292900/3

5 149, 260, 425
149, 52, 85

∴ So the LCM of the given numbers is 5 x 149 x 52 x 85 = 3292900

Least Common Multiple of 149,260,425 with GCF Formula

Least Common Multiple of 149,260,425 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 149,260,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,260,425) = 1

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

GCF(149,260,425) x common factors =1 x 5 = 5

LCM(149,260,425) = ( 149 × 260 × 425 ) / 5

LCM(149,260,425) = 16464500 / 5

LCM(149,260,425) = 3292900


Lets's calculate GCF of 474,531,354

3 474, 531, 354
158, 177, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3292900/3

Therefore the LCM of Fractions 149/474,260/531,425/354 is 3292900/3

Greatest Common Factor of 474,531,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,531,354 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

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 474,531,354 . The biggest common factor number is the GCF number.
So the greatest common factor 474,531,354 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 149/474, 260/531, 425/354

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 149/474, 260/531, 425/354?

Answer: LCM of Numerators as per given numbers 149/474, 260/531, 425/354 is

LCM of Numerators i.e. for 149,260,425 is 3292900

GCF of denominators i.e. for 474,531,354 is 3.

Thus, LCM of Fractions is 3292900/3.Finally, LCM of Fractions for 149/474, 260/531, 425/354 is 3292900/3.