Least Common Multiple of 7842/742, 5920/4951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7842/742, 5920/4951 quickly i.e. 23212320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7842/742, 5920/4951 is 23212320.

LCM(7842/742, 5920/4951) = 23212320

LCM of 7842/742, 5920/4951

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 7842/742,5920/4951

Given numbers are 7842/742,5920/4951

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 7842,5920

Least Common Multiple of Numerators i.e. LCM of 7842,5920 is 23212320.

GCF of Denominators means GCF of 742,4951 as per the given fractions.

GCF of 742,4951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7842,5920

LCM of Fractions 7842/742,5920/4951 is 23212320

2 7842, 5920
3921, 2960

∴ So the LCM of the given numbers is 2 x 3921 x 2960 = 23212320

Least Common Multiple of 7842,5920 with GCF Formula

Least Common Multiple of 7842,5920 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 7842,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7842,5920) = 2

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

GCF(7842,5920) x common factors =2 x 1 = 2

LCM(7842,5920) = ( 7842 × 5920 ) / 2

LCM(7842,5920) = 46424640 / 2

LCM(7842,5920) = 23212320


Lets's calculate GCF of 742,4951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23212320/1

Therefore the LCM of Fractions 7842/742,5920/4951 is 23212320

Greatest Common Factor of 742,4951 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,4951 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 4951

List of positive integer factors of 4951 that divides 4951 without a remainder.

1,4951

Greatest Common Factor

We found the factors 742,4951 . The biggest common factor number is the GCF number.
So the greatest common factor 742,4951 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 7842/742, 5920/4951

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 7842/742, 5920/4951?

Answer: LCM of Numerators as per given numbers 7842/742, 5920/4951 is

LCM of Numerators i.e. for 7842,5920 is 23212320

GCF of denominators i.e. for 742,4951 is 1.

Thus, LCM of Fractions is 23212320.Finally, LCM of Fractions for 7842/742, 5920/4951 is 23212320.