Least Common Multiple of 820/35, 196/96, 128/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/35, 196/96, 128/37 quickly i.e. 1285760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/35, 196/96, 128/37 is 1285760.

LCM(820/35, 196/96, 128/37) = 1285760

LCM of 820/35, 196/96, 128/37

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 820/35,196/96,128/37

Given numbers are 820/35,196/96,128/37

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 820,196,128

Least Common Multiple of Numerators i.e. LCM of 820,196,128 is 1285760.

GCF of Denominators means GCF of 35,96,37 as per the given fractions.

GCF of 35,96,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,196,128

LCM of Fractions 820/35,196/96,128/37 is 1285760

2 820, 196, 128
2 410, 98, 64
205, 49, 32

∴ So the LCM of the given numbers is 2 x 2 x 205 x 49 x 32 = 1285760

Least Common Multiple of 820,196,128 with GCF Formula

Least Common Multiple of 820,196,128 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 820,196,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,196,128) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(820,196,128) x common factors =4 x 4 = 16

LCM(820,196,128) = ( 820 × 196 × 128 ) / 16

LCM(820,196,128) = 20572160 / 16

LCM(820,196,128) = 1285760


Lets's calculate GCF of 35,96,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1285760/1

Therefore the LCM of Fractions 820/35,196/96,128/37 is 1285760

Greatest Common Factor of 35,96,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,96,37 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 35,96,37 . The biggest common factor number is the GCF number.
So the greatest common factor 35,96,37 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 820/35, 196/96, 128/37

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 820/35, 196/96, 128/37?

Answer: LCM of Numerators as per given numbers 820/35, 196/96, 128/37 is

LCM of Numerators i.e. for 820,196,128 is 1285760

GCF of denominators i.e. for 35,96,37 is 1.

Thus, LCM of Fractions is 1285760.Finally, LCM of Fractions for 820/35, 196/96, 128/37 is 1285760.