Least Common Multiple of 1700/105, 5453/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1700/105, 5453/735 quickly i.e. 9270100/105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1700/105, 5453/735 is 9270100/105.

LCM(1700/105, 5453/735) = 9270100/105

LCM of 1700/105, 5453/735

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 1700/105,5453/735

Given numbers are 1700/105,5453/735

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 1700,5453

Least Common Multiple of Numerators i.e. LCM of 1700,5453 is 9270100.

GCF of Denominators means GCF of 105,735 as per the given fractions.

GCF of 105,735 is 105 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1700,5453

LCM of Fractions 1700/105,5453/735 is 9270100/105

Given numbers has no common factors except 1. So, there LCM is their product i.e 9270100

Least Common Multiple of 1700,5453 with GCF Formula

Least Common Multiple of 1700,5453 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 1700,5453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1700,5453) = 1

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

GCF(1700,5453) x common factors =1 x 1 = 1

LCM(1700,5453) = ( 1700 × 5453 ) / 1

LCM(1700,5453) = 9270100 / 1

LCM(1700,5453) = 9270100


Lets's calculate GCF of 105,735

3 105, 735
5 35, 245
7 7, 49
1, 7

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9270100/105

Therefore the LCM of Fractions 1700/105,5453/735 is 9270100/105

Greatest Common Factor of 105,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,735 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 105,735 . The biggest common factor number is the GCF number.
So the greatest common factor 105,735 is 105.


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 1700/105, 5453/735

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 1700/105, 5453/735?

Answer: LCM of Numerators as per given numbers 1700/105, 5453/735 is

LCM of Numerators i.e. for 1700,5453 is 9270100

GCF of denominators i.e. for 105,735 is 105.

Thus, LCM of Fractions is 9270100/105.Finally, LCM of Fractions for 1700/105, 5453/735 is 9270100/105.