Least Common Multiple of 84/909, 543/301, 702/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/909, 543/301, 702/980 quickly i.e. 1778868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/909, 543/301, 702/980 is 1778868.

LCM(84/909, 543/301, 702/980) = 1778868

LCM of 84/909, 543/301, 702/980

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 84/909,543/301,702/980

Given numbers are 84/909,543/301,702/980

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 84,543,702

Least Common Multiple of Numerators i.e. LCM of 84,543,702 is 1778868.

GCF of Denominators means GCF of 909,301,980 as per the given fractions.

GCF of 909,301,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,543,702

LCM of Fractions 84/909,543/301,702/980 is 1778868

2 84, 543, 702
3 42, 543, 351
14, 181, 117

∴ So the LCM of the given numbers is 2 x 3 x 14 x 181 x 117 = 1778868

Least Common Multiple of 84,543,702 with GCF Formula

Least Common Multiple of 84,543,702 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 84,543,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,543,702) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(84,543,702) x common factors =3 x 6 = 18

LCM(84,543,702) = ( 84 × 543 × 702 ) / 18

LCM(84,543,702) = 32019624 / 18

LCM(84,543,702) = 1778868


Lets's calculate GCF of 909,301,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1778868/1

Therefore the LCM of Fractions 84/909,543/301,702/980 is 1778868

Greatest Common Factor of 909,301,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,301,980 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 909,301,980 . The biggest common factor number is the GCF number.
So the greatest common factor 909,301,980 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 84/909, 543/301, 702/980

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 84/909, 543/301, 702/980?

Answer: LCM of Numerators as per given numbers 84/909, 543/301, 702/980 is

LCM of Numerators i.e. for 84,543,702 is 1778868

GCF of denominators i.e. for 909,301,980 is 1.

Thus, LCM of Fractions is 1778868.Finally, LCM of Fractions for 84/909, 543/301, 702/980 is 1778868.