Least Common Multiple of 144/84, 630/45, 126/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/84, 630/45, 126/901 quickly i.e. 5040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/84, 630/45, 126/901 is 5040.

LCM(144/84, 630/45, 126/901) = 5040

LCM of 144/84, 630/45, 126/901

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 144/84,630/45,126/901

Given numbers are 144/84,630/45,126/901

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 144,630,126

Least Common Multiple of Numerators i.e. LCM of 144,630,126 is 5040.

GCF of Denominators means GCF of 84,45,901 as per the given fractions.

GCF of 84,45,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,630,126

LCM of Fractions 144/84,630/45,126/901 is 5040

2 144, 630, 126
3 72, 315, 63
3 24, 105, 21
7 8, 35, 7
8, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 8 x 5 x 1 = 5040

Least Common Multiple of 144,630,126 with GCF Formula

Least Common Multiple of 144,630,126 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 144,630,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,630,126) = 18

common factors(in case of two or more numbers have common factors) = 126

GCF(144,630,126) x common factors =18 x 126 = 2268

LCM(144,630,126) = ( 144 × 630 × 126 ) / 2268

LCM(144,630,126) = 11430720 / 2268

LCM(144,630,126) = 5040


Lets's calculate GCF of 84,45,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5040/1

Therefore the LCM of Fractions 144/84,630/45,126/901 is 5040

Greatest Common Factor of 84,45,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,45,901 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 84,45,901 . The biggest common factor number is the GCF number.
So the greatest common factor 84,45,901 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 144/84, 630/45, 126/901

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 144/84, 630/45, 126/901?

Answer: LCM of Numerators as per given numbers 144/84, 630/45, 126/901 is

LCM of Numerators i.e. for 144,630,126 is 5040

GCF of denominators i.e. for 84,45,901 is 1.

Thus, LCM of Fractions is 5040.Finally, LCM of Fractions for 144/84, 630/45, 126/901 is 5040.