Least Common Multiple of 45/632, 94/876, 840/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/632, 94/876, 840/114 quickly i.e. 59220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/632, 94/876, 840/114 is 59220.

LCM(45/632, 94/876, 840/114) = 59220

LCM of 45/632, 94/876, 840/114

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 45/632,94/876,840/114

Given numbers are 45/632,94/876,840/114

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 45,94,840

Least Common Multiple of Numerators i.e. LCM of 45,94,840 is 118440.

GCF of Denominators means GCF of 632,876,114 as per the given fractions.

GCF of 632,876,114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,94,840

LCM of Fractions 45/632,94/876,840/114 is 59220

2 45, 94, 840
3 45, 47, 420
5 15, 47, 140
3, 47, 28

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 47 x 28 = 118440

Least Common Multiple of 45,94,840 with GCF Formula

Least Common Multiple of 45,94,840 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 45,94,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,94,840) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(45,94,840) x common factors =1 x 30 = 30

LCM(45,94,840) = ( 45 × 94 × 840 ) / 30

LCM(45,94,840) = 3553200 / 30

LCM(45,94,840) = 118440


Lets's calculate GCF of 632,876,114

2 632, 876, 114
316, 438, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118440/2

Therefore the LCM of Fractions 45/632,94/876,840/114 is 59220

Greatest Common Factor of 632,876,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,876,114 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 632,876,114 . The biggest common factor number is the GCF number.
So the greatest common factor 632,876,114 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 45/632, 94/876, 840/114

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 45/632, 94/876, 840/114?

Answer: LCM of Numerators as per given numbers 45/632, 94/876, 840/114 is

LCM of Numerators i.e. for 45,94,840 is 118440

GCF of denominators i.e. for 632,876,114 is 2.

Thus, LCM of Fractions is 59220.Finally, LCM of Fractions for 45/632, 94/876, 840/114 is 59220.