Least Common Multiple of 45/646, 22/976, 426/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/646, 22/976, 426/144 quickly i.e. 35145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/646, 22/976, 426/144 is 35145.

LCM(45/646, 22/976, 426/144) = 35145

LCM of 45/646, 22/976, 426/144

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 45/646,22/976,426/144

Given numbers are 45/646,22/976,426/144

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 45,22,426

Least Common Multiple of Numerators i.e. LCM of 45,22,426 is 70290.

GCF of Denominators means GCF of 646,976,144 as per the given fractions.

GCF of 646,976,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,22,426

LCM of Fractions 45/646,22/976,426/144 is 35145

2 45, 22, 426
3 45, 11, 213
15, 11, 71

∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 71 = 70290

Least Common Multiple of 45,22,426 with GCF Formula

Least Common Multiple of 45,22,426 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 45,22,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,22,426) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,22,426) x common factors =1 x 6 = 6

LCM(45,22,426) = ( 45 × 22 × 426 ) / 6

LCM(45,22,426) = 421740 / 6

LCM(45,22,426) = 70290


Lets's calculate GCF of 646,976,144

2 646, 976, 144
323, 488, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70290/2

Therefore the LCM of Fractions 45/646,22/976,426/144 is 35145

Greatest Common Factor of 646,976,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,976,144 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 646,976,144 . The biggest common factor number is the GCF number.
So the greatest common factor 646,976,144 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 45/646, 22/976, 426/144

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 45/646, 22/976, 426/144?

Answer: LCM of Numerators as per given numbers 45/646, 22/976, 426/144 is

LCM of Numerators i.e. for 45,22,426 is 70290

GCF of denominators i.e. for 646,976,144 is 2.

Thus, LCM of Fractions is 35145.Finally, LCM of Fractions for 45/646, 22/976, 426/144 is 35145.