Least Common Multiple of 842/56, 828/40, 175/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/56, 828/40, 175/403 quickly i.e. 61002900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/56, 828/40, 175/403 is 61002900.

LCM(842/56, 828/40, 175/403) = 61002900

LCM of 842/56, 828/40, 175/403

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 842/56,828/40,175/403

Given numbers are 842/56,828/40,175/403

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 842,828,175

Least Common Multiple of Numerators i.e. LCM of 842,828,175 is 61002900.

GCF of Denominators means GCF of 56,40,403 as per the given fractions.

GCF of 56,40,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,828,175

LCM of Fractions 842/56,828/40,175/403 is 61002900

2 842, 828, 175
421, 414, 175

∴ So the LCM of the given numbers is 2 x 421 x 414 x 175 = 61002900

Least Common Multiple of 842,828,175 with GCF Formula

Least Common Multiple of 842,828,175 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 842,828,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,828,175) = 1

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

GCF(842,828,175) x common factors =1 x 2 = 2

LCM(842,828,175) = ( 842 × 828 × 175 ) / 2

LCM(842,828,175) = 122005800 / 2

LCM(842,828,175) = 61002900


Lets's calculate GCF of 56,40,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61002900/1

Therefore the LCM of Fractions 842/56,828/40,175/403 is 61002900

Greatest Common Factor of 56,40,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,40,403 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 56,40,403 . The biggest common factor number is the GCF number.
So the greatest common factor 56,40,403 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 842/56, 828/40, 175/403

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 842/56, 828/40, 175/403?

Answer: LCM of Numerators as per given numbers 842/56, 828/40, 175/403 is

LCM of Numerators i.e. for 842,828,175 is 61002900

GCF of denominators i.e. for 56,40,403 is 1.

Thus, LCM of Fractions is 61002900.Finally, LCM of Fractions for 842/56, 828/40, 175/403 is 61002900.