Least Common Multiple of 922/58, 474/1682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 922/58, 474/1682 quickly i.e. 218514/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/58, 474/1682 is 218514/58.

LCM(922/58, 474/1682) = 218514/58

LCM of 922/58, 474/1682

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 922/58,474/1682

Given numbers are 922/58,474/1682

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 922,474

Least Common Multiple of Numerators i.e. LCM of 922,474 is 218514.

GCF of Denominators means GCF of 58,1682 as per the given fractions.

GCF of 58,1682 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,474

LCM of Fractions 922/58,474/1682 is 218514/58

2 922, 474
461, 237

∴ So the LCM of the given numbers is 2 x 461 x 237 = 218514

Least Common Multiple of 922,474 with GCF Formula

Least Common Multiple of 922,474 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 922,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,474) = 2

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

GCF(922,474) x common factors =2 x 1 = 2

LCM(922,474) = ( 922 × 474 ) / 2

LCM(922,474) = 437028 / 2

LCM(922,474) = 218514


Lets's calculate GCF of 58,1682

2 58, 1682
29 29, 841
1, 29

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218514/58

Therefore the LCM of Fractions 922/58,474/1682 is 218514/58

Greatest Common Factor of 58,1682 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1682 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1682

List of positive integer factors of 1682 that divides 1682 without a remainder.

1,2,29,58,841,1682

Greatest Common Factor

We found the factors 58,1682 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1682 is 58.


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 922/58, 474/1682

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 922/58, 474/1682?

Answer: LCM of Numerators as per given numbers 922/58, 474/1682 is

LCM of Numerators i.e. for 922,474 is 218514

GCF of denominators i.e. for 58,1682 is 58.

Thus, LCM of Fractions is 218514/58.Finally, LCM of Fractions for 922/58, 474/1682 is 218514/58.