Least Common Multiple of 84/967, 97/974, 520/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/967, 97/974, 520/810 quickly i.e. 1059240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/967, 97/974, 520/810 is 1059240.

LCM(84/967, 97/974, 520/810) = 1059240

LCM of 84/967, 97/974, 520/810

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 84/967,97/974,520/810

Given numbers are 84/967,97/974,520/810

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 84,97,520

Least Common Multiple of Numerators i.e. LCM of 84,97,520 is 1059240.

GCF of Denominators means GCF of 967,974,810 as per the given fractions.

GCF of 967,974,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,97,520

LCM of Fractions 84/967,97/974,520/810 is 1059240

2 84, 97, 520
2 42, 97, 260
21, 97, 130

∴ So the LCM of the given numbers is 2 x 2 x 21 x 97 x 130 = 1059240

Least Common Multiple of 84,97,520 with GCF Formula

Least Common Multiple of 84,97,520 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 84,97,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,97,520) = 1

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

GCF(84,97,520) x common factors =1 x 4 = 4

LCM(84,97,520) = ( 84 × 97 × 520 ) / 4

LCM(84,97,520) = 4236960 / 4

LCM(84,97,520) = 1059240


Lets's calculate GCF of 967,974,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1059240/1

Therefore the LCM of Fractions 84/967,97/974,520/810 is 1059240

Greatest Common Factor of 967,974,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,974,810 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 967,974,810 . The biggest common factor number is the GCF number.
So the greatest common factor 967,974,810 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 84/967, 97/974, 520/810

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 84/967, 97/974, 520/810?

Answer: LCM of Numerators as per given numbers 84/967, 97/974, 520/810 is

LCM of Numerators i.e. for 84,97,520 is 1059240

GCF of denominators i.e. for 967,974,810 is 1.

Thus, LCM of Fractions is 1059240.Finally, LCM of Fractions for 84/967, 97/974, 520/810 is 1059240.