Least Common Multiple of 166/454, 6920/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 166/454, 6920/679 quickly i.e. 574360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 166/454, 6920/679 is 574360.

LCM(166/454, 6920/679) = 574360

LCM of 166/454, 6920/679

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 166/454,6920/679

Given numbers are 166/454,6920/679

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 166,6920

Least Common Multiple of Numerators i.e. LCM of 166,6920 is 574360.

GCF of Denominators means GCF of 454,679 as per the given fractions.

GCF of 454,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 166,6920

LCM of Fractions 166/454,6920/679 is 574360

2 166, 6920
83, 3460

∴ So the LCM of the given numbers is 2 x 83 x 3460 = 574360

Least Common Multiple of 166,6920 with GCF Formula

Least Common Multiple of 166,6920 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 166,6920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,6920) = 2

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

GCF(166,6920) x common factors =2 x 1 = 2

LCM(166,6920) = ( 166 × 6920 ) / 2

LCM(166,6920) = 1148720 / 2

LCM(166,6920) = 574360


Lets's calculate GCF of 454,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574360/1

Therefore the LCM of Fractions 166/454,6920/679 is 574360

Greatest Common Factor of 454,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,679 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 454,679 . The biggest common factor number is the GCF number.
So the greatest common factor 454,679 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 166/454, 6920/679

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 166/454, 6920/679?

Answer: LCM of Numerators as per given numbers 166/454, 6920/679 is

LCM of Numerators i.e. for 166,6920 is 574360

GCF of denominators i.e. for 454,679 is 1.

Thus, LCM of Fractions is 574360.Finally, LCM of Fractions for 166/454, 6920/679 is 574360.