Least Common Multiple of 548/26, 966/57, 164/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 548/26, 966/57, 164/420 quickly i.e. 10852044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/26, 966/57, 164/420 is 10852044.

LCM(548/26, 966/57, 164/420) = 10852044

LCM of 548/26, 966/57, 164/420

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 548/26,966/57,164/420

Given numbers are 548/26,966/57,164/420

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 548,966,164

Least Common Multiple of Numerators i.e. LCM of 548,966,164 is 10852044.

GCF of Denominators means GCF of 26,57,420 as per the given fractions.

GCF of 26,57,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,966,164

LCM of Fractions 548/26,966/57,164/420 is 10852044

2 548, 966, 164
2 274, 483, 82
137, 483, 41

∴ So the LCM of the given numbers is 2 x 2 x 137 x 483 x 41 = 10852044

Least Common Multiple of 548,966,164 with GCF Formula

Least Common Multiple of 548,966,164 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 548,966,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,966,164) = 2

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

GCF(548,966,164) x common factors =2 x 4 = 8

LCM(548,966,164) = ( 548 × 966 × 164 ) / 8

LCM(548,966,164) = 86816352 / 8

LCM(548,966,164) = 10852044


Lets's calculate GCF of 26,57,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10852044/1

Therefore the LCM of Fractions 548/26,966/57,164/420 is 10852044

Greatest Common Factor of 26,57,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,57,420 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 26,57,420 . The biggest common factor number is the GCF number.
So the greatest common factor 26,57,420 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 548/26, 966/57, 164/420

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 548/26, 966/57, 164/420?

Answer: LCM of Numerators as per given numbers 548/26, 966/57, 164/420 is

LCM of Numerators i.e. for 548,966,164 is 10852044

GCF of denominators i.e. for 26,57,420 is 1.

Thus, LCM of Fractions is 10852044.Finally, LCM of Fractions for 548/26, 966/57, 164/420 is 10852044.