Least Common Multiple of 426/438, 184/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/438, 184/770 quickly i.e. 19596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/438, 184/770 is 19596.

LCM(426/438, 184/770) = 19596

LCM of 426/438, 184/770

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 426/438,184/770

Given numbers are 426/438,184/770

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 426,184

Least Common Multiple of Numerators i.e. LCM of 426,184 is 39192.

GCF of Denominators means GCF of 438,770 as per the given fractions.

GCF of 438,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,184

LCM of Fractions 426/438,184/770 is 19596

2 426, 184
213, 92

∴ So the LCM of the given numbers is 2 x 213 x 92 = 39192

Least Common Multiple of 426,184 with GCF Formula

Least Common Multiple of 426,184 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 426,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,184) = 2

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

GCF(426,184) x common factors =2 x 1 = 2

LCM(426,184) = ( 426 × 184 ) / 2

LCM(426,184) = 78384 / 2

LCM(426,184) = 39192


Lets's calculate GCF of 438,770

2 438, 770
219, 385

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39192/2

Therefore the LCM of Fractions 426/438,184/770 is 19596

Greatest Common Factor of 438,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,770 By Matching Biggest Common Factor Method

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 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 438,770 . The biggest common factor number is the GCF number.
So the greatest common factor 438,770 is 2.


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 426/438, 184/770

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 426/438, 184/770?

Answer: LCM of Numerators as per given numbers 426/438, 184/770 is

LCM of Numerators i.e. for 426,184 is 39192

GCF of denominators i.e. for 438,770 is 2.

Thus, LCM of Fractions is 19596.Finally, LCM of Fractions for 426/438, 184/770 is 19596.