Least Common Multiple of 35/420, 33/453, 657/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/420, 33/453, 657/701 quickly i.e. 252945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/420, 33/453, 657/701 is 252945.

LCM(35/420, 33/453, 657/701) = 252945

LCM of 35/420, 33/453, 657/701

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 35/420,33/453,657/701

Given numbers are 35/420,33/453,657/701

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 35,33,657

Least Common Multiple of Numerators i.e. LCM of 35,33,657 is 252945.

GCF of Denominators means GCF of 420,453,701 as per the given fractions.

GCF of 420,453,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,33,657

LCM of Fractions 35/420,33/453,657/701 is 252945

3 35, 33, 657
35, 11, 219

∴ So the LCM of the given numbers is 3 x 35 x 11 x 219 = 252945

Least Common Multiple of 35,33,657 with GCF Formula

Least Common Multiple of 35,33,657 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 35,33,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,33,657) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(35,33,657) x common factors =1 x 3 = 3

LCM(35,33,657) = ( 35 × 33 × 657 ) / 3

LCM(35,33,657) = 758835 / 3

LCM(35,33,657) = 252945


Lets's calculate GCF of 420,453,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252945/1

Therefore the LCM of Fractions 35/420,33/453,657/701 is 252945

Greatest Common Factor of 420,453,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,453,701 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 420,453,701 . The biggest common factor number is the GCF number.
So the greatest common factor 420,453,701 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 35/420, 33/453, 657/701

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 35/420, 33/453, 657/701?

Answer: LCM of Numerators as per given numbers 35/420, 33/453, 657/701 is

LCM of Numerators i.e. for 35,33,657 is 252945

GCF of denominators i.e. for 420,453,701 is 1.

Thus, LCM of Fractions is 252945.Finally, LCM of Fractions for 35/420, 33/453, 657/701 is 252945.