Least Common Multiple of 149/157, 355/342, 761/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/157, 355/342, 761/230 quickly i.e. 40253095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/157, 355/342, 761/230 is 40253095.

LCM(149/157, 355/342, 761/230) = 40253095

LCM of 149/157, 355/342, 761/230

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 149/157,355/342,761/230

Given numbers are 149/157,355/342,761/230

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 149,355,761

Least Common Multiple of Numerators i.e. LCM of 149,355,761 is 40253095.

GCF of Denominators means GCF of 157,342,230 as per the given fractions.

GCF of 157,342,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,355,761

LCM of Fractions 149/157,355/342,761/230 is 40253095

Given numbers has no common factors except 1. So, there LCM is their product i.e 40253095

Least Common Multiple of 149,355,761 with GCF Formula

Least Common Multiple of 149,355,761 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 149,355,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,355,761) = 1

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

GCF(149,355,761) x common factors =1 x 1 = 1

LCM(149,355,761) = ( 149 × 355 × 761 ) / 1

LCM(149,355,761) = 40253095 / 1

LCM(149,355,761) = 40253095


Lets's calculate GCF of 157,342,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40253095/1

Therefore the LCM of Fractions 149/157,355/342,761/230 is 40253095

Greatest Common Factor of 157,342,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,342,230 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 157,342,230 . The biggest common factor number is the GCF number.
So the greatest common factor 157,342,230 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 149/157, 355/342, 761/230

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 149/157, 355/342, 761/230?

Answer: LCM of Numerators as per given numbers 149/157, 355/342, 761/230 is

LCM of Numerators i.e. for 149,355,761 is 40253095

GCF of denominators i.e. for 157,342,230 is 1.

Thus, LCM of Fractions is 40253095.Finally, LCM of Fractions for 149/157, 355/342, 761/230 is 40253095.