Least Common Multiple of 22/868, 110/344, 870/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/868, 110/344, 870/134 quickly i.e. 4785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/868, 110/344, 870/134 is 4785.

LCM(22/868, 110/344, 870/134) = 4785

LCM of 22/868, 110/344, 870/134

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 22/868,110/344,870/134

Given numbers are 22/868,110/344,870/134

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 22,110,870

Least Common Multiple of Numerators i.e. LCM of 22,110,870 is 9570.

GCF of Denominators means GCF of 868,344,134 as per the given fractions.

GCF of 868,344,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,110,870

LCM of Fractions 22/868,110/344,870/134 is 4785

2 22, 110, 870
5 11, 55, 435
11 11, 11, 87
1, 1, 87

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 1 x 87 = 9570

Least Common Multiple of 22,110,870 with GCF Formula

Least Common Multiple of 22,110,870 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 22,110,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,110,870) = 2

common factors(in case of two or more numbers have common factors) = 110

GCF(22,110,870) x common factors =2 x 110 = 220

LCM(22,110,870) = ( 22 × 110 × 870 ) / 220

LCM(22,110,870) = 2105400 / 220

LCM(22,110,870) = 9570


Lets's calculate GCF of 868,344,134

2 868, 344, 134
434, 172, 67

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9570/2

Therefore the LCM of Fractions 22/868,110/344,870/134 is 4785

Greatest Common Factor of 868,344,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,344,134 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 868,344,134 . The biggest common factor number is the GCF number.
So the greatest common factor 868,344,134 is 2.


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 22/868, 110/344, 870/134

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 22/868, 110/344, 870/134?

Answer: LCM of Numerators as per given numbers 22/868, 110/344, 870/134 is

LCM of Numerators i.e. for 22,110,870 is 9570

GCF of denominators i.e. for 868,344,134 is 2.

Thus, LCM of Fractions is 4785.Finally, LCM of Fractions for 22/868, 110/344, 870/134 is 4785.