Least Common Multiple of 45/66, 86/408, 988/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/66, 86/408, 988/254 quickly i.e. 955890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/66, 86/408, 988/254 is 955890.

LCM(45/66, 86/408, 988/254) = 955890

LCM of 45/66, 86/408, 988/254

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 45/66,86/408,988/254

Given numbers are 45/66,86/408,988/254

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 45,86,988

Least Common Multiple of Numerators i.e. LCM of 45,86,988 is 1911780.

GCF of Denominators means GCF of 66,408,254 as per the given fractions.

GCF of 66,408,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,86,988

LCM of Fractions 45/66,86/408,988/254 is 955890

2 45, 86, 988
45, 43, 494

∴ So the LCM of the given numbers is 2 x 45 x 43 x 494 = 1911780

Least Common Multiple of 45,86,988 with GCF Formula

Least Common Multiple of 45,86,988 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 45,86,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,86,988) = 1

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

GCF(45,86,988) x common factors =1 x 2 = 2

LCM(45,86,988) = ( 45 × 86 × 988 ) / 2

LCM(45,86,988) = 3823560 / 2

LCM(45,86,988) = 1911780


Lets's calculate GCF of 66,408,254

2 66, 408, 254
33, 204, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1911780/2

Therefore the LCM of Fractions 45/66,86/408,988/254 is 955890

Greatest Common Factor of 66,408,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,408,254 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 66,408,254 . The biggest common factor number is the GCF number.
So the greatest common factor 66,408,254 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 45/66, 86/408, 988/254

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 45/66, 86/408, 988/254?

Answer: LCM of Numerators as per given numbers 45/66, 86/408, 988/254 is

LCM of Numerators i.e. for 45,86,988 is 1911780

GCF of denominators i.e. for 66,408,254 is 2.

Thus, LCM of Fractions is 955890.Finally, LCM of Fractions for 45/66, 86/408, 988/254 is 955890.