Least Common Multiple of 45/50, 31/77, 50/37, 28/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/50, 31/77, 50/37, 28/770 quickly i.e. 195300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/50, 31/77, 50/37, 28/770 is 195300.

LCM(45/50, 31/77, 50/37, 28/770) = 195300

LCM of 45/50, 31/77, 50/37, 28/770

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 45/50,31/77,50/37,28/770

Given numbers are 45/50,31/77,50/37,28/770

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 45,31,50,28

Least Common Multiple of Numerators i.e. LCM of 45,31,50,28 is 195300.

GCF of Denominators means GCF of 50,77,37,770 as per the given fractions.

GCF of 50,77,37,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,31,50,28

LCM of Fractions 45/50,31/77,50/37,28/770 is 195300

2 45, 31, 50, 28
5 45, 31, 25, 14
9, 31, 5, 14

∴ So the LCM of the given numbers is 2 x 5 x 9 x 31 x 5 x 14 = 195300

Least Common Multiple of 45,31,50,28 with GCF Formula

Least Common Multiple of 45,31,50,28 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 45,31,50,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,31,50,28) = 1

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

GCF(45,31,50,28) x common factors =1 x 10 = 10

LCM(45,31,50,28) = ( 45 × 31 × 50 × 28 ) / 10

LCM(45,31,50,28) = 1953000 / 10

LCM(45,31,50,28) = 195300


Lets's calculate GCF of 50,77,37,770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195300/1

Therefore the LCM of Fractions 45/50,31/77,50/37,28/770 is 195300

Greatest Common Factor of 50,77,37,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,77,37,770 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 37

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

1,37

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 50,77,37,770 . The biggest common factor number is the GCF number.
So the greatest common factor 50,77,37,770 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 45/50, 31/77, 50/37, 28/770

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 45/50, 31/77, 50/37, 28/770?

Answer: LCM of Numerators as per given numbers 45/50, 31/77, 50/37, 28/770 is

LCM of Numerators i.e. for 45,31,50,28 is 195300

GCF of denominators i.e. for 50,77,37,770 is 1.

Thus, LCM of Fractions is 195300.Finally, LCM of Fractions for 45/50, 31/77, 50/37, 28/770 is 195300.