Least Common Multiple of 80/10, 85/48, 55/25, 62/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/10, 85/48, 55/25, 62/148 quickly i.e. 463760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/10, 85/48, 55/25, 62/148 is 463760.

LCM(80/10, 85/48, 55/25, 62/148) = 463760

LCM of 80/10, 85/48, 55/25, 62/148

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 80/10,85/48,55/25,62/148

Given numbers are 80/10,85/48,55/25,62/148

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 80,85,55,62

Least Common Multiple of Numerators i.e. LCM of 80,85,55,62 is 463760.

GCF of Denominators means GCF of 10,48,25,148 as per the given fractions.

GCF of 10,48,25,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,85,55,62

LCM of Fractions 80/10,85/48,55/25,62/148 is 463760

2 80, 85, 55, 62
5 40, 85, 55, 31
8, 17, 11, 31

∴ So the LCM of the given numbers is 2 x 5 x 8 x 17 x 11 x 31 = 463760

Least Common Multiple of 80,85,55,62 with GCF Formula

Least Common Multiple of 80,85,55,62 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 80,85,55,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,85,55,62) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(80,85,55,62) x common factors =1 x 50 = 50

LCM(80,85,55,62) = ( 80 × 85 × 55 × 62 ) / 50

LCM(80,85,55,62) = 23188000 / 50

LCM(80,85,55,62) = 463760


Lets's calculate GCF of 10,48,25,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463760/1

Therefore the LCM of Fractions 80/10,85/48,55/25,62/148 is 463760

Greatest Common Factor of 10,48,25,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,48,25,148 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 10,48,25,148 . The biggest common factor number is the GCF number.
So the greatest common factor 10,48,25,148 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 80/10, 85/48, 55/25, 62/148

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 80/10, 85/48, 55/25, 62/148?

Answer: LCM of Numerators as per given numbers 80/10, 85/48, 55/25, 62/148 is

LCM of Numerators i.e. for 80,85,55,62 is 463760

GCF of denominators i.e. for 10,48,25,148 is 1.

Thus, LCM of Fractions is 463760.Finally, LCM of Fractions for 80/10, 85/48, 55/25, 62/148 is 463760.