Least Common Multiple of 837/538, 463/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/538, 463/770 quickly i.e. 387531/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/538, 463/770 is 387531/2.

LCM(837/538, 463/770) = 387531/2

LCM of 837/538, 463/770

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 837/538,463/770

Given numbers are 837/538,463/770

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 837,463

Least Common Multiple of Numerators i.e. LCM of 837,463 is 387531.

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

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

Lets's calculate LCM of 837,463

LCM of Fractions 837/538,463/770 is 387531/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 387531

Least Common Multiple of 837,463 with GCF Formula

Least Common Multiple of 837,463 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 837,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,463) = 1

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

GCF(837,463) x common factors =1 x 1 = 1

LCM(837,463) = ( 837 × 463 ) / 1

LCM(837,463) = 387531 / 1

LCM(837,463) = 387531


Lets's calculate GCF of 538,770

2 538, 770
269, 385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387531/2

Therefore the LCM of Fractions 837/538,463/770 is 387531/2

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

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

Factors of 538

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

1,2,269,538

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 538,770 . The biggest common factor number is the GCF number.
So the greatest common factor 538,770 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 837/538, 463/770

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 837/538, 463/770?

Answer: LCM of Numerators as per given numbers 837/538, 463/770 is

LCM of Numerators i.e. for 837,463 is 387531

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

Thus, LCM of Fractions is 387531/2.Finally, LCM of Fractions for 837/538, 463/770 is 387531/2.