Least Common Multiple of 84/972, 808/453, 752/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/972, 808/453, 752/467 quickly i.e. 1594992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/972, 808/453, 752/467 is 1594992.

LCM(84/972, 808/453, 752/467) = 1594992

LCM of 84/972, 808/453, 752/467

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 84/972,808/453,752/467

Given numbers are 84/972,808/453,752/467

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 84,808,752

Least Common Multiple of Numerators i.e. LCM of 84,808,752 is 1594992.

GCF of Denominators means GCF of 972,453,467 as per the given fractions.

GCF of 972,453,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,808,752

LCM of Fractions 84/972,808/453,752/467 is 1594992

2 84, 808, 752
2 42, 404, 376
2 21, 202, 188
21, 101, 94

∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 101 x 94 = 1594992

Least Common Multiple of 84,808,752 with GCF Formula

Least Common Multiple of 84,808,752 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 84,808,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,808,752) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(84,808,752) x common factors =4 x 8 = 32

LCM(84,808,752) = ( 84 × 808 × 752 ) / 32

LCM(84,808,752) = 51039744 / 32

LCM(84,808,752) = 1594992


Lets's calculate GCF of 972,453,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594992/1

Therefore the LCM of Fractions 84/972,808/453,752/467 is 1594992

Greatest Common Factor of 972,453,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,453,467 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 972,453,467 . The biggest common factor number is the GCF number.
So the greatest common factor 972,453,467 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/972, 808/453, 752/467

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 84/972, 808/453, 752/467?

Answer: LCM of Numerators as per given numbers 84/972, 808/453, 752/467 is

LCM of Numerators i.e. for 84,808,752 is 1594992

GCF of denominators i.e. for 972,453,467 is 1.

Thus, LCM of Fractions is 1594992.Finally, LCM of Fractions for 84/972, 808/453, 752/467 is 1594992.