Least Common Multiple of 22/455, 94/113, 548/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/455, 94/113, 548/682 quickly i.e. 283316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/455, 94/113, 548/682 is 283316.

LCM(22/455, 94/113, 548/682) = 283316

LCM of 22/455, 94/113, 548/682

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 22/455,94/113,548/682

Given numbers are 22/455,94/113,548/682

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 22,94,548

Least Common Multiple of Numerators i.e. LCM of 22,94,548 is 283316.

GCF of Denominators means GCF of 455,113,682 as per the given fractions.

GCF of 455,113,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,94,548

LCM of Fractions 22/455,94/113,548/682 is 283316

2 22, 94, 548
11, 47, 274

∴ So the LCM of the given numbers is 2 x 11 x 47 x 274 = 283316

Least Common Multiple of 22,94,548 with GCF Formula

Least Common Multiple of 22,94,548 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 22,94,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,94,548) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(22,94,548) x common factors =2 x 2 = 4

LCM(22,94,548) = ( 22 × 94 × 548 ) / 4

LCM(22,94,548) = 1133264 / 4

LCM(22,94,548) = 283316


Lets's calculate GCF of 455,113,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283316/1

Therefore the LCM of Fractions 22/455,94/113,548/682 is 283316

Greatest Common Factor of 455,113,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,113,682 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 455,113,682 . The biggest common factor number is the GCF number.
So the greatest common factor 455,113,682 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/455, 94/113, 548/682

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 22/455, 94/113, 548/682?

Answer: LCM of Numerators as per given numbers 22/455, 94/113, 548/682 is

LCM of Numerators i.e. for 22,94,548 is 283316

GCF of denominators i.e. for 455,113,682 is 1.

Thus, LCM of Fractions is 283316.Finally, LCM of Fractions for 22/455, 94/113, 548/682 is 283316.