Least Common Multiple of 707/97, 1023/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 707/97, 1023/514 quickly i.e. 723261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/97, 1023/514 is 723261.

LCM(707/97, 1023/514) = 723261

LCM of 707/97, 1023/514

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 707/97,1023/514

Given numbers are 707/97,1023/514

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 707,1023

Least Common Multiple of Numerators i.e. LCM of 707,1023 is 723261.

GCF of Denominators means GCF of 97,514 as per the given fractions.

GCF of 97,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,1023

LCM of Fractions 707/97,1023/514 is 723261

Given numbers has no common factors except 1. So, there LCM is their product i.e 723261

Least Common Multiple of 707,1023 with GCF Formula

Least Common Multiple of 707,1023 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 707,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,1023) = 1

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

GCF(707,1023) x common factors =1 x 1 = 1

LCM(707,1023) = ( 707 × 1023 ) / 1

LCM(707,1023) = 723261 / 1

LCM(707,1023) = 723261


Lets's calculate GCF of 97,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723261/1

Therefore the LCM of Fractions 707/97,1023/514 is 723261

Greatest Common Factor of 97,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,514 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 97,514 . The biggest common factor number is the GCF number.
So the greatest common factor 97,514 is 1.


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 707/97, 1023/514

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 707/97, 1023/514?

Answer: LCM of Numerators as per given numbers 707/97, 1023/514 is

LCM of Numerators i.e. for 707,1023 is 723261

GCF of denominators i.e. for 97,514 is 1.

Thus, LCM of Fractions is 723261.Finally, LCM of Fractions for 707/97, 1023/514 is 723261.