Least Common Multiple of 1457/756, 7703/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1457/756, 7703/954 quickly i.e. 11223271/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1457/756, 7703/954 is 11223271/18.

LCM(1457/756, 7703/954) = 11223271/18

LCM of 1457/756, 7703/954

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 1457/756,7703/954

Given numbers are 1457/756,7703/954

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 1457,7703

Least Common Multiple of Numerators i.e. LCM of 1457,7703 is 11223271.

GCF of Denominators means GCF of 756,954 as per the given fractions.

GCF of 756,954 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1457,7703

LCM of Fractions 1457/756,7703/954 is 11223271/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 11223271

Least Common Multiple of 1457,7703 with GCF Formula

Least Common Multiple of 1457,7703 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 1457,7703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1457,7703) = 1

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

GCF(1457,7703) x common factors =1 x 1 = 1

LCM(1457,7703) = ( 1457 × 7703 ) / 1

LCM(1457,7703) = 11223271 / 1

LCM(1457,7703) = 11223271


Lets's calculate GCF of 756,954

2 756, 954
3 378, 477
3 126, 159
42, 53

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11223271/18

Therefore the LCM of Fractions 1457/756,7703/954 is 11223271/18

Greatest Common Factor of 756,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,954 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 756,954 . The biggest common factor number is the GCF number.
So the greatest common factor 756,954 is 18.


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 1457/756, 7703/954

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 1457/756, 7703/954?

Answer: LCM of Numerators as per given numbers 1457/756, 7703/954 is

LCM of Numerators i.e. for 1457,7703 is 11223271

GCF of denominators i.e. for 756,954 is 18.

Thus, LCM of Fractions is 11223271/18.Finally, LCM of Fractions for 1457/756, 7703/954 is 11223271/18.