Least Common Multiple of 696/375, 643/359, 278/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/375, 643/359, 278/423 quickly i.e. 62206392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/375, 643/359, 278/423 is 62206392.

LCM(696/375, 643/359, 278/423) = 62206392

LCM of 696/375, 643/359, 278/423

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 696/375,643/359,278/423

Given numbers are 696/375,643/359,278/423

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 696,643,278

Least Common Multiple of Numerators i.e. LCM of 696,643,278 is 62206392.

GCF of Denominators means GCF of 375,359,423 as per the given fractions.

GCF of 375,359,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,643,278

LCM of Fractions 696/375,643/359,278/423 is 62206392

2 696, 643, 278
348, 643, 139

∴ So the LCM of the given numbers is 2 x 348 x 643 x 139 = 62206392

Least Common Multiple of 696,643,278 with GCF Formula

Least Common Multiple of 696,643,278 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 696,643,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,643,278) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(696,643,278) x common factors =1 x 2 = 2

LCM(696,643,278) = ( 696 × 643 × 278 ) / 2

LCM(696,643,278) = 124412784 / 2

LCM(696,643,278) = 62206392


Lets's calculate GCF of 375,359,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62206392/1

Therefore the LCM of Fractions 696/375,643/359,278/423 is 62206392

Greatest Common Factor of 375,359,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,359,423 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 375,359,423 . The biggest common factor number is the GCF number.
So the greatest common factor 375,359,423 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 696/375, 643/359, 278/423

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 696/375, 643/359, 278/423?

Answer: LCM of Numerators as per given numbers 696/375, 643/359, 278/423 is

LCM of Numerators i.e. for 696,643,278 is 62206392

GCF of denominators i.e. for 375,359,423 is 1.

Thus, LCM of Fractions is 62206392.Finally, LCM of Fractions for 696/375, 643/359, 278/423 is 62206392.