Least Common Multiple of 959/504, 770/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 959/504, 770/697 quickly i.e. 105490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 959/504, 770/697 is 105490.

LCM(959/504, 770/697) = 105490

LCM of 959/504, 770/697

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 959/504,770/697

Given numbers are 959/504,770/697

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 959,770

Least Common Multiple of Numerators i.e. LCM of 959,770 is 105490.

GCF of Denominators means GCF of 504,697 as per the given fractions.

GCF of 504,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 959,770

LCM of Fractions 959/504,770/697 is 105490

7 959, 770
137, 110

∴ So the LCM of the given numbers is 7 x 137 x 110 = 105490

Least Common Multiple of 959,770 with GCF Formula

Least Common Multiple of 959,770 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 959,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,770) = 7

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

GCF(959,770) x common factors =7 x 1 = 7

LCM(959,770) = ( 959 × 770 ) / 7

LCM(959,770) = 738430 / 7

LCM(959,770) = 105490


Lets's calculate GCF of 504,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105490/1

Therefore the LCM of Fractions 959/504,770/697 is 105490

Greatest Common Factor of 504,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,697 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 504,697 . The biggest common factor number is the GCF number.
So the greatest common factor 504,697 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 959/504, 770/697

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 959/504, 770/697?

Answer: LCM of Numerators as per given numbers 959/504, 770/697 is

LCM of Numerators i.e. for 959,770 is 105490

GCF of denominators i.e. for 504,697 is 1.

Thus, LCM of Fractions is 105490.Finally, LCM of Fractions for 959/504, 770/697 is 105490.