Least Common Multiple of 45/112, 885/266, 688/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/112, 885/266, 688/850 quickly i.e. 913320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/112, 885/266, 688/850 is 913320.

LCM(45/112, 885/266, 688/850) = 913320

LCM of 45/112, 885/266, 688/850

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 45/112,885/266,688/850

Given numbers are 45/112,885/266,688/850

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 45,885,688

Least Common Multiple of Numerators i.e. LCM of 45,885,688 is 1826640.

GCF of Denominators means GCF of 112,266,850 as per the given fractions.

GCF of 112,266,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,885,688

LCM of Fractions 45/112,885/266,688/850 is 913320

3 45, 885, 688
5 15, 295, 688
3, 59, 688

∴ So the LCM of the given numbers is 3 x 5 x 3 x 59 x 688 = 1826640

Least Common Multiple of 45,885,688 with GCF Formula

Least Common Multiple of 45,885,688 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 45,885,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,885,688) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,885,688) x common factors =1 x 15 = 15

LCM(45,885,688) = ( 45 × 885 × 688 ) / 15

LCM(45,885,688) = 27399600 / 15

LCM(45,885,688) = 1826640


Lets's calculate GCF of 112,266,850

2 112, 266, 850
56, 133, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1826640/2

Therefore the LCM of Fractions 45/112,885/266,688/850 is 913320

Greatest Common Factor of 112,266,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,266,850 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 112,266,850 . The biggest common factor number is the GCF number.
So the greatest common factor 112,266,850 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 45/112, 885/266, 688/850

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 45/112, 885/266, 688/850?

Answer: LCM of Numerators as per given numbers 45/112, 885/266, 688/850 is

LCM of Numerators i.e. for 45,885,688 is 1826640

GCF of denominators i.e. for 112,266,850 is 2.

Thus, LCM of Fractions is 913320.Finally, LCM of Fractions for 45/112, 885/266, 688/850 is 913320.