Least Common Multiple of 84/716, 851/690, 511/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/716, 851/690, 511/398 quickly i.e. 2609166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/716, 851/690, 511/398 is 2609166.

LCM(84/716, 851/690, 511/398) = 2609166

LCM of 84/716, 851/690, 511/398

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 84/716,851/690,511/398

Given numbers are 84/716,851/690,511/398

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 84,851,511

Least Common Multiple of Numerators i.e. LCM of 84,851,511 is 5218332.

GCF of Denominators means GCF of 716,690,398 as per the given fractions.

GCF of 716,690,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,851,511

LCM of Fractions 84/716,851/690,511/398 is 2609166

7 84, 851, 511
12, 851, 73

∴ So the LCM of the given numbers is 7 x 12 x 851 x 73 = 5218332

Least Common Multiple of 84,851,511 with GCF Formula

Least Common Multiple of 84,851,511 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 84,851,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,851,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(84,851,511) x common factors =1 x 7 = 7

LCM(84,851,511) = ( 84 × 851 × 511 ) / 7

LCM(84,851,511) = 36528324 / 7

LCM(84,851,511) = 5218332


Lets's calculate GCF of 716,690,398

2 716, 690, 398
358, 345, 199

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5218332/2

Therefore the LCM of Fractions 84/716,851/690,511/398 is 2609166

Greatest Common Factor of 716,690,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,690,398 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 716,690,398 . The biggest common factor number is the GCF number.
So the greatest common factor 716,690,398 is 2.


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 84/716, 851/690, 511/398

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 84/716, 851/690, 511/398?

Answer: LCM of Numerators as per given numbers 84/716, 851/690, 511/398 is

LCM of Numerators i.e. for 84,851,511 is 5218332

GCF of denominators i.e. for 716,690,398 is 2.

Thus, LCM of Fractions is 2609166.Finally, LCM of Fractions for 84/716, 851/690, 511/398 is 2609166.