Least Common Multiple of 37/535, 6766/7870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/535, 6766/7870 quickly i.e. 250342/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/535, 6766/7870 is 250342/5.

LCM(37/535, 6766/7870) = 250342/5

LCM of 37/535, 6766/7870

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 37/535,6766/7870

Given numbers are 37/535,6766/7870

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 37,6766

Least Common Multiple of Numerators i.e. LCM of 37,6766 is 250342.

GCF of Denominators means GCF of 535,7870 as per the given fractions.

GCF of 535,7870 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,6766

LCM of Fractions 37/535,6766/7870 is 250342/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 250342

Least Common Multiple of 37,6766 with GCF Formula

Least Common Multiple of 37,6766 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 37,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,6766) = 1

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

GCF(37,6766) x common factors =1 x 1 = 1

LCM(37,6766) = ( 37 × 6766 ) / 1

LCM(37,6766) = 250342 / 1

LCM(37,6766) = 250342


Lets's calculate GCF of 535,7870

5 535, 7870
107, 1574

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250342/5

Therefore the LCM of Fractions 37/535,6766/7870 is 250342/5

Greatest Common Factor of 535,7870 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,7870 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1,2,5,10,787,1574,3935,7870

Greatest Common Factor

We found the factors 535,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 535,7870 is 5.


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 37/535, 6766/7870

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 37/535, 6766/7870?

Answer: LCM of Numerators as per given numbers 37/535, 6766/7870 is

LCM of Numerators i.e. for 37,6766 is 250342

GCF of denominators i.e. for 535,7870 is 5.

Thus, LCM of Fractions is 250342/5.Finally, LCM of Fractions for 37/535, 6766/7870 is 250342/5.