Least Common Multiple of 45/710, 1973/3640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/710, 1973/3640 quickly i.e. 88785/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/710, 1973/3640 is 88785/10.

LCM(45/710, 1973/3640) = 88785/10

LCM of 45/710, 1973/3640

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 45/710,1973/3640

Given numbers are 45/710,1973/3640

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 45,1973

Least Common Multiple of Numerators i.e. LCM of 45,1973 is 88785.

GCF of Denominators means GCF of 710,3640 as per the given fractions.

GCF of 710,3640 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,1973

LCM of Fractions 45/710,1973/3640 is 88785/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 88785

Least Common Multiple of 45,1973 with GCF Formula

Least Common Multiple of 45,1973 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 45,1973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1973) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(45,1973) x common factors =1 x 1 = 1

LCM(45,1973) = ( 45 × 1973 ) / 1

LCM(45,1973) = 88785 / 1

LCM(45,1973) = 88785


Lets's calculate GCF of 710,3640

2 710, 3640
5 355, 1820
71, 364

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88785/10

Therefore the LCM of Fractions 45/710,1973/3640 is 88785/10

Greatest Common Factor of 710,3640 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,3640 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors 710,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 710,3640 is 10.


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 45/710, 1973/3640

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 45/710, 1973/3640?

Answer: LCM of Numerators as per given numbers 45/710, 1973/3640 is

LCM of Numerators i.e. for 45,1973 is 88785

GCF of denominators i.e. for 710,3640 is 10.

Thus, LCM of Fractions is 88785/10.Finally, LCM of Fractions for 45/710, 1973/3640 is 88785/10.