Least Common Multiple of 234/56, 166/23, 507/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/56, 166/23, 507/434 quickly i.e. 252486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/56, 166/23, 507/434 is 252486.

LCM(234/56, 166/23, 507/434) = 252486

LCM of 234/56, 166/23, 507/434

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 234/56,166/23,507/434

Given numbers are 234/56,166/23,507/434

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 234,166,507

Least Common Multiple of Numerators i.e. LCM of 234,166,507 is 252486.

GCF of Denominators means GCF of 56,23,434 as per the given fractions.

GCF of 56,23,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,166,507

LCM of Fractions 234/56,166/23,507/434 is 252486

2 234, 166, 507
3 117, 83, 507
13 39, 83, 169
3, 83, 13

∴ So the LCM of the given numbers is 2 x 3 x 13 x 3 x 83 x 13 = 252486

Least Common Multiple of 234,166,507 with GCF Formula

Least Common Multiple of 234,166,507 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 234,166,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,166,507) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(234,166,507) x common factors =1 x 78 = 78

LCM(234,166,507) = ( 234 × 166 × 507 ) / 78

LCM(234,166,507) = 19693908 / 78

LCM(234,166,507) = 252486


Lets's calculate GCF of 56,23,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252486/1

Therefore the LCM of Fractions 234/56,166/23,507/434 is 252486

Greatest Common Factor of 56,23,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,23,434 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 56,23,434 . The biggest common factor number is the GCF number.
So the greatest common factor 56,23,434 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 234/56, 166/23, 507/434

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 234/56, 166/23, 507/434?

Answer: LCM of Numerators as per given numbers 234/56, 166/23, 507/434 is

LCM of Numerators i.e. for 234,166,507 is 252486

GCF of denominators i.e. for 56,23,434 is 1.

Thus, LCM of Fractions is 252486.Finally, LCM of Fractions for 234/56, 166/23, 507/434 is 252486.