Least Common Multiple of 26/942, 343/482, 897/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/942, 343/482, 897/320 quickly i.e. 307671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/942, 343/482, 897/320 is 307671.

LCM(26/942, 343/482, 897/320) = 307671

LCM of 26/942, 343/482, 897/320

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 26/942,343/482,897/320

Given numbers are 26/942,343/482,897/320

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 26,343,897

Least Common Multiple of Numerators i.e. LCM of 26,343,897 is 615342.

GCF of Denominators means GCF of 942,482,320 as per the given fractions.

GCF of 942,482,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,343,897

LCM of Fractions 26/942,343/482,897/320 is 307671

13 26, 343, 897
2, 343, 69

∴ So the LCM of the given numbers is 13 x 2 x 343 x 69 = 615342

Least Common Multiple of 26,343,897 with GCF Formula

Least Common Multiple of 26,343,897 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 26,343,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,343,897) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(26,343,897) x common factors =1 x 13 = 13

LCM(26,343,897) = ( 26 × 343 × 897 ) / 13

LCM(26,343,897) = 7999446 / 13

LCM(26,343,897) = 615342


Lets's calculate GCF of 942,482,320

2 942, 482, 320
471, 241, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615342/2

Therefore the LCM of Fractions 26/942,343/482,897/320 is 307671

Greatest Common Factor of 942,482,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,482,320 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 942,482,320 . The biggest common factor number is the GCF number.
So the greatest common factor 942,482,320 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 26/942, 343/482, 897/320

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 26/942, 343/482, 897/320?

Answer: LCM of Numerators as per given numbers 26/942, 343/482, 897/320 is

LCM of Numerators i.e. for 26,343,897 is 615342

GCF of denominators i.e. for 942,482,320 is 2.

Thus, LCM of Fractions is 307671.Finally, LCM of Fractions for 26/942, 343/482, 897/320 is 307671.