Least Common Multiple of 882/42, 126/49, 750/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/42, 126/49, 750/72 quickly i.e. 110250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/42, 126/49, 750/72 is 110250.

LCM(882/42, 126/49, 750/72) = 110250

LCM of 882/42, 126/49, 750/72

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 882/42,126/49,750/72

Given numbers are 882/42,126/49,750/72

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 882,126,750

Least Common Multiple of Numerators i.e. LCM of 882,126,750 is 110250.

GCF of Denominators means GCF of 42,49,72 as per the given fractions.

GCF of 42,49,72 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,126,750

LCM of Fractions 882/42,126/49,750/72 is 110250

2 882, 126, 750
3 441, 63, 375
3 147, 21, 125
7 49, 7, 125
1, 7, 125

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 7 x 125 = 110250

Least Common Multiple of 882,126,750 with GCF Formula

Least Common Multiple of 882,126,750 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 882,126,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,126,750) = 6

common factors(in case of two or more numbers have common factors) = 126

GCF(882,126,750) x common factors =6 x 126 = 756

LCM(882,126,750) = ( 882 × 126 × 750 ) / 756

LCM(882,126,750) = 83349000 / 756

LCM(882,126,750) = 110250


Lets's calculate GCF of 42,49,72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110250/1

Therefore the LCM of Fractions 882/42,126/49,750/72 is 110250

Greatest Common Factor of 42,49,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,49,72 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 42,49,72 . The biggest common factor number is the GCF number.
So the greatest common factor 42,49,72 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 882/42, 126/49, 750/72

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 882/42, 126/49, 750/72?

Answer: LCM of Numerators as per given numbers 882/42, 126/49, 750/72 is

LCM of Numerators i.e. for 882,126,750 is 110250

GCF of denominators i.e. for 42,49,72 is 1.

Thus, LCM of Fractions is 110250.Finally, LCM of Fractions for 882/42, 126/49, 750/72 is 110250.