Least Common Multiple of 62/85, 80/565, 400/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/85, 80/565, 400/148 quickly i.e. 12400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/85, 80/565, 400/148 is 12400.

LCM(62/85, 80/565, 400/148) = 12400

LCM of 62/85, 80/565, 400/148

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 62/85,80/565,400/148

Given numbers are 62/85,80/565,400/148

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 62,80,400

Least Common Multiple of Numerators i.e. LCM of 62,80,400 is 12400.

GCF of Denominators means GCF of 85,565,148 as per the given fractions.

GCF of 85,565,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,80,400

LCM of Fractions 62/85,80/565,400/148 is 12400

2 62, 80, 400
2 31, 40, 200
2 31, 20, 100
2 31, 10, 50
5 31, 5, 25
31, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 31 x 1 x 5 = 12400

Least Common Multiple of 62,80,400 with GCF Formula

Least Common Multiple of 62,80,400 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 62,80,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,80,400) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(62,80,400) x common factors =2 x 80 = 160

LCM(62,80,400) = ( 62 × 80 × 400 ) / 160

LCM(62,80,400) = 1984000 / 160

LCM(62,80,400) = 12400


Lets's calculate GCF of 85,565,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12400/1

Therefore the LCM of Fractions 62/85,80/565,400/148 is 12400

Greatest Common Factor of 85,565,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,565,148 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

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 85,565,148 . The biggest common factor number is the GCF number.
So the greatest common factor 85,565,148 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 62/85, 80/565, 400/148

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 62/85, 80/565, 400/148?

Answer: LCM of Numerators as per given numbers 62/85, 80/565, 400/148 is

LCM of Numerators i.e. for 62,80,400 is 12400

GCF of denominators i.e. for 85,565,148 is 1.

Thus, LCM of Fractions is 12400.Finally, LCM of Fractions for 62/85, 80/565, 400/148 is 12400.