Least Common Multiple of 807/767, 4735/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 807/767, 4735/975 quickly i.e. 3821145/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/767, 4735/975 is 3821145/13.

LCM(807/767, 4735/975) = 3821145/13

LCM of 807/767, 4735/975

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 807/767,4735/975

Given numbers are 807/767,4735/975

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 807,4735

Least Common Multiple of Numerators i.e. LCM of 807,4735 is 3821145.

GCF of Denominators means GCF of 767,975 as per the given fractions.

GCF of 767,975 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,4735

LCM of Fractions 807/767,4735/975 is 3821145/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 3821145

Least Common Multiple of 807,4735 with GCF Formula

Least Common Multiple of 807,4735 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 807,4735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,4735) = 1

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

GCF(807,4735) x common factors =1 x 1 = 1

LCM(807,4735) = ( 807 × 4735 ) / 1

LCM(807,4735) = 3821145 / 1

LCM(807,4735) = 3821145


Lets's calculate GCF of 767,975

13 767, 975
59, 75

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3821145/13

Therefore the LCM of Fractions 807/767,4735/975 is 3821145/13

Greatest Common Factor of 767,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,975 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 767,975 . The biggest common factor number is the GCF number.
So the greatest common factor 767,975 is 13.


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 807/767, 4735/975

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 807/767, 4735/975?

Answer: LCM of Numerators as per given numbers 807/767, 4735/975 is

LCM of Numerators i.e. for 807,4735 is 3821145

GCF of denominators i.e. for 767,975 is 13.

Thus, LCM of Fractions is 3821145/13.Finally, LCM of Fractions for 807/767, 4735/975 is 3821145/13.