Least Common Multiple of 826/304, 1782/1220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/304, 1782/1220 quickly i.e. 735966/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/304, 1782/1220 is 735966/4.

LCM(826/304, 1782/1220) = 735966/4

LCM of 826/304, 1782/1220

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 826/304,1782/1220

Given numbers are 826/304,1782/1220

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 826,1782

Least Common Multiple of Numerators i.e. LCM of 826,1782 is 735966.

GCF of Denominators means GCF of 304,1220 as per the given fractions.

GCF of 304,1220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,1782

LCM of Fractions 826/304,1782/1220 is 735966/4

2 826, 1782
413, 891

∴ So the LCM of the given numbers is 2 x 413 x 891 = 735966

Least Common Multiple of 826,1782 with GCF Formula

Least Common Multiple of 826,1782 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 826,1782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,1782) = 2

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

GCF(826,1782) x common factors =2 x 1 = 2

LCM(826,1782) = ( 826 × 1782 ) / 2

LCM(826,1782) = 1471932 / 2

LCM(826,1782) = 735966


Lets's calculate GCF of 304,1220

2 304, 1220
2 152, 610
76, 305

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735966/4

Therefore the LCM of Fractions 826/304,1782/1220 is 735966/4

Greatest Common Factor of 304,1220 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,1220 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Greatest Common Factor

We found the factors 304,1220 . The biggest common factor number is the GCF number.
So the greatest common factor 304,1220 is 4.


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 826/304, 1782/1220

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 826/304, 1782/1220?

Answer: LCM of Numerators as per given numbers 826/304, 1782/1220 is

LCM of Numerators i.e. for 826,1782 is 735966

GCF of denominators i.e. for 304,1220 is 4.

Thus, LCM of Fractions is 735966/4.Finally, LCM of Fractions for 826/304, 1782/1220 is 735966/4.