Least Common Multiple of 2453/700, 2974/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2453/700, 2974/462 quickly i.e. 7295222/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2453/700, 2974/462 is 7295222/14.

LCM(2453/700, 2974/462) = 7295222/14

LCM of 2453/700, 2974/462

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 2453/700,2974/462

Given numbers are 2453/700,2974/462

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 2453,2974

Least Common Multiple of Numerators i.e. LCM of 2453,2974 is 7295222.

GCF of Denominators means GCF of 700,462 as per the given fractions.

GCF of 700,462 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2453,2974

LCM of Fractions 2453/700,2974/462 is 7295222/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 7295222

Least Common Multiple of 2453,2974 with GCF Formula

Least Common Multiple of 2453,2974 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 2453,2974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2453,2974) = 1

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

GCF(2453,2974) x common factors =1 x 1 = 1

LCM(2453,2974) = ( 2453 × 2974 ) / 1

LCM(2453,2974) = 7295222 / 1

LCM(2453,2974) = 7295222


Lets's calculate GCF of 700,462

2 700, 462
7 350, 231
50, 33

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7295222/14

Therefore the LCM of Fractions 2453/700,2974/462 is 7295222/14

Greatest Common Factor of 700,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,462 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 700,462 . The biggest common factor number is the GCF number.
So the greatest common factor 700,462 is 14.


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 2453/700, 2974/462

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 2453/700, 2974/462?

Answer: LCM of Numerators as per given numbers 2453/700, 2974/462 is

LCM of Numerators i.e. for 2453,2974 is 7295222

GCF of denominators i.e. for 700,462 is 14.

Thus, LCM of Fractions is 7295222/14.Finally, LCM of Fractions for 2453/700, 2974/462 is 7295222/14.