Least Common Multiple of 110/42, 461/37, 870/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/42, 461/37, 870/799 quickly i.e. 4411770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/42, 461/37, 870/799 is 4411770.

LCM(110/42, 461/37, 870/799) = 4411770

LCM of 110/42, 461/37, 870/799

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 110/42,461/37,870/799

Given numbers are 110/42,461/37,870/799

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 110,461,870

Least Common Multiple of Numerators i.e. LCM of 110,461,870 is 4411770.

GCF of Denominators means GCF of 42,37,799 as per the given fractions.

GCF of 42,37,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,461,870

LCM of Fractions 110/42,461/37,870/799 is 4411770

2 110, 461, 870
5 55, 461, 435
11, 461, 87

∴ So the LCM of the given numbers is 2 x 5 x 11 x 461 x 87 = 4411770

Least Common Multiple of 110,461,870 with GCF Formula

Least Common Multiple of 110,461,870 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 110,461,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,461,870) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(110,461,870) x common factors =1 x 10 = 10

LCM(110,461,870) = ( 110 × 461 × 870 ) / 10

LCM(110,461,870) = 44117700 / 10

LCM(110,461,870) = 4411770


Lets's calculate GCF of 42,37,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4411770/1

Therefore the LCM of Fractions 110/42,461/37,870/799 is 4411770

Greatest Common Factor of 42,37,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,37,799 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 42,37,799 . The biggest common factor number is the GCF number.
So the greatest common factor 42,37,799 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 110/42, 461/37, 870/799

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 110/42, 461/37, 870/799?

Answer: LCM of Numerators as per given numbers 110/42, 461/37, 870/799 is

LCM of Numerators i.e. for 110,461,870 is 4411770

GCF of denominators i.e. for 42,37,799 is 1.

Thus, LCM of Fractions is 4411770.Finally, LCM of Fractions for 110/42, 461/37, 870/799 is 4411770.