Least Common Multiple of 45/174, 54/751, 410/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/174, 54/751, 410/883 quickly i.e. 11070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/174, 54/751, 410/883 is 11070.

LCM(45/174, 54/751, 410/883) = 11070

LCM of 45/174, 54/751, 410/883

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 45/174,54/751,410/883

Given numbers are 45/174,54/751,410/883

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 45,54,410

Least Common Multiple of Numerators i.e. LCM of 45,54,410 is 11070.

GCF of Denominators means GCF of 174,751,883 as per the given fractions.

GCF of 174,751,883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,54,410

LCM of Fractions 45/174,54/751,410/883 is 11070

2 45, 54, 410
3 45, 27, 205
3 15, 9, 205
5 5, 3, 205
1, 3, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 3 x 41 = 11070

Least Common Multiple of 45,54,410 with GCF Formula

Least Common Multiple of 45,54,410 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 45,54,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,54,410) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(45,54,410) x common factors =1 x 90 = 90

LCM(45,54,410) = ( 45 × 54 × 410 ) / 90

LCM(45,54,410) = 996300 / 90

LCM(45,54,410) = 11070


Lets's calculate GCF of 174,751,883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11070/1

Therefore the LCM of Fractions 45/174,54/751,410/883 is 11070

Greatest Common Factor of 174,751,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,751,883 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 174,751,883 . The biggest common factor number is the GCF number.
So the greatest common factor 174,751,883 is 1.


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 45/174, 54/751, 410/883

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 45/174, 54/751, 410/883?

Answer: LCM of Numerators as per given numbers 45/174, 54/751, 410/883 is

LCM of Numerators i.e. for 45,54,410 is 11070

GCF of denominators i.e. for 174,751,883 is 1.

Thus, LCM of Fractions is 11070.Finally, LCM of Fractions for 45/174, 54/751, 410/883 is 11070.