Least Common Multiple of 455/92, 372/82, 292/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 455/92, 372/82, 292/466 quickly i.e. 6177990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/92, 372/82, 292/466 is 6177990.

LCM(455/92, 372/82, 292/466) = 6177990

LCM of 455/92, 372/82, 292/466

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 455/92,372/82,292/466

Given numbers are 455/92,372/82,292/466

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 455,372,292

Least Common Multiple of Numerators i.e. LCM of 455,372,292 is 12355980.

GCF of Denominators means GCF of 92,82,466 as per the given fractions.

GCF of 92,82,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,372,292

LCM of Fractions 455/92,372/82,292/466 is 6177990

2 455, 372, 292
2 455, 186, 146
455, 93, 73

∴ So the LCM of the given numbers is 2 x 2 x 455 x 93 x 73 = 12355980

Least Common Multiple of 455,372,292 with GCF Formula

Least Common Multiple of 455,372,292 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 455,372,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,372,292) = 1

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

GCF(455,372,292) x common factors =1 x 4 = 4

LCM(455,372,292) = ( 455 × 372 × 292 ) / 4

LCM(455,372,292) = 49423920 / 4

LCM(455,372,292) = 12355980


Lets's calculate GCF of 92,82,466

2 92, 82, 466
46, 41, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12355980/2

Therefore the LCM of Fractions 455/92,372/82,292/466 is 6177990

Greatest Common Factor of 92,82,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,82,466 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 92,82,466 . The biggest common factor number is the GCF number.
So the greatest common factor 92,82,466 is 2.


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Frequently Asked Questions on Fractional LCM of 455/92, 372/82, 292/466

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 455/92, 372/82, 292/466?

Answer: LCM of Numerators as per given numbers 455/92, 372/82, 292/466 is

LCM of Numerators i.e. for 455,372,292 is 12355980

GCF of denominators i.e. for 92,82,466 is 2.

Thus, LCM of Fractions is 6177990.Finally, LCM of Fractions for 455/92, 372/82, 292/466 is 6177990.