Least Common Multiple of 878/393, 945/196, 952/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/393, 945/196, 952/380 quickly i.e. 56420280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/393, 945/196, 952/380 is 56420280.

LCM(878/393, 945/196, 952/380) = 56420280

LCM of 878/393, 945/196, 952/380

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 878/393,945/196,952/380

Given numbers are 878/393,945/196,952/380

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 878,945,952

Least Common Multiple of Numerators i.e. LCM of 878,945,952 is 56420280.

GCF of Denominators means GCF of 393,196,380 as per the given fractions.

GCF of 393,196,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,945,952

LCM of Fractions 878/393,945/196,952/380 is 56420280

2 878, 945, 952
7 439, 945, 476
439, 135, 68

∴ So the LCM of the given numbers is 2 x 7 x 439 x 135 x 68 = 56420280

Least Common Multiple of 878,945,952 with GCF Formula

Least Common Multiple of 878,945,952 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 878,945,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,945,952) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(878,945,952) x common factors =1 x 14 = 14

LCM(878,945,952) = ( 878 × 945 × 952 ) / 14

LCM(878,945,952) = 789883920 / 14

LCM(878,945,952) = 56420280


Lets's calculate GCF of 393,196,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56420280/1

Therefore the LCM of Fractions 878/393,945/196,952/380 is 56420280

Greatest Common Factor of 393,196,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,196,380 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 393,196,380 . The biggest common factor number is the GCF number.
So the greatest common factor 393,196,380 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 878/393, 945/196, 952/380

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 878/393, 945/196, 952/380?

Answer: LCM of Numerators as per given numbers 878/393, 945/196, 952/380 is

LCM of Numerators i.e. for 878,945,952 is 56420280

GCF of denominators i.e. for 393,196,380 is 1.

Thus, LCM of Fractions is 56420280.Finally, LCM of Fractions for 878/393, 945/196, 952/380 is 56420280.