Least Common Multiple of 922/620, 549/462, 182/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 922/620, 549/462, 182/382 quickly i.e. 23031099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/620, 549/462, 182/382 is 23031099.

LCM(922/620, 549/462, 182/382) = 23031099

LCM of 922/620, 549/462, 182/382

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 922/620,549/462,182/382

Given numbers are 922/620,549/462,182/382

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 922,549,182

Least Common Multiple of Numerators i.e. LCM of 922,549,182 is 46062198.

GCF of Denominators means GCF of 620,462,382 as per the given fractions.

GCF of 620,462,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,549,182

LCM of Fractions 922/620,549/462,182/382 is 23031099

2 922, 549, 182
461, 549, 91

∴ So the LCM of the given numbers is 2 x 461 x 549 x 91 = 46062198

Least Common Multiple of 922,549,182 with GCF Formula

Least Common Multiple of 922,549,182 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 922,549,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,549,182) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(922,549,182) x common factors =1 x 2 = 2

LCM(922,549,182) = ( 922 × 549 × 182 ) / 2

LCM(922,549,182) = 92124396 / 2

LCM(922,549,182) = 46062198


Lets's calculate GCF of 620,462,382

2 620, 462, 382
310, 231, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46062198/2

Therefore the LCM of Fractions 922/620,549/462,182/382 is 23031099

Greatest Common Factor of 620,462,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,462,382 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 620,462,382 . The biggest common factor number is the GCF number.
So the greatest common factor 620,462,382 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 922/620, 549/462, 182/382

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 922/620, 549/462, 182/382?

Answer: LCM of Numerators as per given numbers 922/620, 549/462, 182/382 is

LCM of Numerators i.e. for 922,549,182 is 46062198

GCF of denominators i.e. for 620,462,382 is 2.

Thus, LCM of Fractions is 23031099.Finally, LCM of Fractions for 922/620, 549/462, 182/382 is 23031099.