Least Common Multiple of 5429/456, 5890/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5429/456, 5890/760 quickly i.e. 31976810/152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5429/456, 5890/760 is 31976810/152.

LCM(5429/456, 5890/760) = 31976810/152

LCM of 5429/456, 5890/760

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 5429/456,5890/760

Given numbers are 5429/456,5890/760

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 5429,5890

Least Common Multiple of Numerators i.e. LCM of 5429,5890 is 31976810.

GCF of Denominators means GCF of 456,760 as per the given fractions.

GCF of 456,760 is 152 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5429,5890

LCM of Fractions 5429/456,5890/760 is 31976810/152

Given numbers has no common factors except 1. So, there LCM is their product i.e 31976810

Least Common Multiple of 5429,5890 with GCF Formula

Least Common Multiple of 5429,5890 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 5429,5890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5429,5890) = 1

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

GCF(5429,5890) x common factors =1 x 1 = 1

LCM(5429,5890) = ( 5429 × 5890 ) / 1

LCM(5429,5890) = 31976810 / 1

LCM(5429,5890) = 31976810


Lets's calculate GCF of 456,760

2 456, 760
2 228, 380
2 114, 190
19 57, 95
3, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 19 = 152

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31976810/152

Therefore the LCM of Fractions 5429/456,5890/760 is 31976810/152

Greatest Common Factor of 456,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,760 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 456,760 . The biggest common factor number is the GCF number.
So the greatest common factor 456,760 is 152.


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 5429/456, 5890/760

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 5429/456, 5890/760?

Answer: LCM of Numerators as per given numbers 5429/456, 5890/760 is

LCM of Numerators i.e. for 5429,5890 is 31976810

GCF of denominators i.e. for 456,760 is 152.

Thus, LCM of Fractions is 31976810/152.Finally, LCM of Fractions for 5429/456, 5890/760 is 31976810/152.