Least Common Multiple of 892/220, 812/688, 345/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/220, 812/688, 345/263 quickly i.e. 62471220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/220, 812/688, 345/263 is 62471220.

LCM(892/220, 812/688, 345/263) = 62471220

LCM of 892/220, 812/688, 345/263

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 892/220,812/688,345/263

Given numbers are 892/220,812/688,345/263

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 892,812,345

Least Common Multiple of Numerators i.e. LCM of 892,812,345 is 62471220.

GCF of Denominators means GCF of 220,688,263 as per the given fractions.

GCF of 220,688,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,812,345

LCM of Fractions 892/220,812/688,345/263 is 62471220

2 892, 812, 345
2 446, 406, 345
223, 203, 345

∴ So the LCM of the given numbers is 2 x 2 x 223 x 203 x 345 = 62471220

Least Common Multiple of 892,812,345 with GCF Formula

Least Common Multiple of 892,812,345 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 892,812,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,812,345) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(892,812,345) x common factors =1 x 4 = 4

LCM(892,812,345) = ( 892 × 812 × 345 ) / 4

LCM(892,812,345) = 249884880 / 4

LCM(892,812,345) = 62471220


Lets's calculate GCF of 220,688,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62471220/1

Therefore the LCM of Fractions 892/220,812/688,345/263 is 62471220

Greatest Common Factor of 220,688,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,688,263 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 220,688,263 . The biggest common factor number is the GCF number.
So the greatest common factor 220,688,263 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 892/220, 812/688, 345/263

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 892/220, 812/688, 345/263?

Answer: LCM of Numerators as per given numbers 892/220, 812/688, 345/263 is

LCM of Numerators i.e. for 892,812,345 is 62471220

GCF of denominators i.e. for 220,688,263 is 1.

Thus, LCM of Fractions is 62471220.Finally, LCM of Fractions for 892/220, 812/688, 345/263 is 62471220.