Least Common Multiple of 643/770, 417/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/770, 417/538 quickly i.e. 268131/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/770, 417/538 is 268131/2.

LCM(643/770, 417/538) = 268131/2

LCM of 643/770, 417/538

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 643/770,417/538

Given numbers are 643/770,417/538

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 643,417

Least Common Multiple of Numerators i.e. LCM of 643,417 is 268131.

GCF of Denominators means GCF of 770,538 as per the given fractions.

GCF of 770,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,417

LCM of Fractions 643/770,417/538 is 268131/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 268131

Least Common Multiple of 643,417 with GCF Formula

Least Common Multiple of 643,417 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 643,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,417) = 1

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

GCF(643,417) x common factors =1 x 1 = 1

LCM(643,417) = ( 643 × 417 ) / 1

LCM(643,417) = 268131 / 1

LCM(643,417) = 268131


Lets's calculate GCF of 770,538

2 770, 538
385, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268131/2

Therefore the LCM of Fractions 643/770,417/538 is 268131/2

Greatest Common Factor of 770,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,538 By Matching Biggest Common Factor Method

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

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 770,538 . The biggest common factor number is the GCF number.
So the greatest common factor 770,538 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 643/770, 417/538

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 643/770, 417/538?

Answer: LCM of Numerators as per given numbers 643/770, 417/538 is

LCM of Numerators i.e. for 643,417 is 268131

GCF of denominators i.e. for 770,538 is 2.

Thus, LCM of Fractions is 268131/2.Finally, LCM of Fractions for 643/770, 417/538 is 268131/2.