Least Common Multiple of 84/702, 696/265, 540/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/702, 696/265, 540/762 quickly i.e. 219240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/702, 696/265, 540/762 is 219240.

LCM(84/702, 696/265, 540/762) = 219240

LCM of 84/702, 696/265, 540/762

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 84/702,696/265,540/762

Given numbers are 84/702,696/265,540/762

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 84,696,540

Least Common Multiple of Numerators i.e. LCM of 84,696,540 is 219240.

GCF of Denominators means GCF of 702,265,762 as per the given fractions.

GCF of 702,265,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,696,540

LCM of Fractions 84/702,696/265,540/762 is 219240

2 84, 696, 540
2 42, 348, 270
3 21, 174, 135
7, 58, 45

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 58 x 45 = 219240

Least Common Multiple of 84,696,540 with GCF Formula

Least Common Multiple of 84,696,540 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 84,696,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,696,540) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(84,696,540) x common factors =12 x 12 = 144

LCM(84,696,540) = ( 84 × 696 × 540 ) / 144

LCM(84,696,540) = 31570560 / 144

LCM(84,696,540) = 219240


Lets's calculate GCF of 702,265,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219240/1

Therefore the LCM of Fractions 84/702,696/265,540/762 is 219240

Greatest Common Factor of 702,265,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,265,762 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 702,265,762 . The biggest common factor number is the GCF number.
So the greatest common factor 702,265,762 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 84/702, 696/265, 540/762

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 84/702, 696/265, 540/762?

Answer: LCM of Numerators as per given numbers 84/702, 696/265, 540/762 is

LCM of Numerators i.e. for 84,696,540 is 219240

GCF of denominators i.e. for 702,265,762 is 1.

Thus, LCM of Fractions is 219240.Finally, LCM of Fractions for 84/702, 696/265, 540/762 is 219240.