Least Common Multiple of 374/322, 7962/4900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/322, 7962/4900 quickly i.e. 1488894/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/322, 7962/4900 is 1488894/14.

LCM(374/322, 7962/4900) = 1488894/14

LCM of 374/322, 7962/4900

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 374/322,7962/4900

Given numbers are 374/322,7962/4900

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 374,7962

Least Common Multiple of Numerators i.e. LCM of 374,7962 is 1488894.

GCF of Denominators means GCF of 322,4900 as per the given fractions.

GCF of 322,4900 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,7962

LCM of Fractions 374/322,7962/4900 is 1488894/14

2 374, 7962
187, 3981

∴ So the LCM of the given numbers is 2 x 187 x 3981 = 1488894

Least Common Multiple of 374,7962 with GCF Formula

Least Common Multiple of 374,7962 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 374,7962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,7962) = 2

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

GCF(374,7962) x common factors =2 x 1 = 2

LCM(374,7962) = ( 374 × 7962 ) / 2

LCM(374,7962) = 2977788 / 2

LCM(374,7962) = 1488894


Lets's calculate GCF of 322,4900

2 322, 4900
7 161, 2450
23, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1488894/14

Therefore the LCM of Fractions 374/322,7962/4900 is 1488894/14

Greatest Common Factor of 322,4900 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,4900 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Greatest Common Factor

We found the factors 322,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 322,4900 is 14.


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 374/322, 7962/4900

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 374/322, 7962/4900?

Answer: LCM of Numerators as per given numbers 374/322, 7962/4900 is

LCM of Numerators i.e. for 374,7962 is 1488894

GCF of denominators i.e. for 322,4900 is 14.

Thus, LCM of Fractions is 1488894/14.Finally, LCM of Fractions for 374/322, 7962/4900 is 1488894/14.