Least Common Multiple of 820/66, 196/33, 140/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/66, 196/33, 140/528 quickly i.e. 40180/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/66, 196/33, 140/528 is 40180/33.

LCM(820/66, 196/33, 140/528) = 40180/33

LCM of 820/66, 196/33, 140/528

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 820/66,196/33,140/528

Given numbers are 820/66,196/33,140/528

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 820,196,140

Least Common Multiple of Numerators i.e. LCM of 820,196,140 is 40180.

GCF of Denominators means GCF of 66,33,528 as per the given fractions.

GCF of 66,33,528 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,196,140

LCM of Fractions 820/66,196/33,140/528 is 40180/33

2 820, 196, 140
2 410, 98, 70
5 205, 49, 35
7 41, 49, 7
41, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 41 x 1 x 7 = 40180

Least Common Multiple of 820,196,140 with GCF Formula

Least Common Multiple of 820,196,140 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 820,196,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,196,140) = 4

common factors(in case of two or more numbers have common factors) = 140

GCF(820,196,140) x common factors =4 x 140 = 560

LCM(820,196,140) = ( 820 × 196 × 140 ) / 560

LCM(820,196,140) = 22500800 / 560

LCM(820,196,140) = 40180


Lets's calculate GCF of 66,33,528

3 66, 33, 528
11 22, 11, 176
2, 1, 16

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40180/33

Therefore the LCM of Fractions 820/66,196/33,140/528 is 40180/33

Greatest Common Factor of 66,33,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,33,528 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 66,33,528 . The biggest common factor number is the GCF number.
So the greatest common factor 66,33,528 is 33.


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 820/66, 196/33, 140/528

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 820/66, 196/33, 140/528?

Answer: LCM of Numerators as per given numbers 820/66, 196/33, 140/528 is

LCM of Numerators i.e. for 820,196,140 is 40180

GCF of denominators i.e. for 66,33,528 is 33.

Thus, LCM of Fractions is 40180/33.Finally, LCM of Fractions for 820/66, 196/33, 140/528 is 40180/33.