Least Common Multiple of 1867/422, 1462/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1867/422, 1462/748 quickly i.e. 1364777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1867/422, 1462/748 is 1364777.

LCM(1867/422, 1462/748) = 1364777

LCM of 1867/422, 1462/748

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 1867/422,1462/748

Given numbers are 1867/422,1462/748

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 1867,1462

Least Common Multiple of Numerators i.e. LCM of 1867,1462 is 2729554.

GCF of Denominators means GCF of 422,748 as per the given fractions.

GCF of 422,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1867,1462

LCM of Fractions 1867/422,1462/748 is 1364777

Given numbers has no common factors except 1. So, there LCM is their product i.e 2729554

Least Common Multiple of 1867,1462 with GCF Formula

Least Common Multiple of 1867,1462 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 1867,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1867,1462) = 1

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

GCF(1867,1462) x common factors =1 x 1 = 1

LCM(1867,1462) = ( 1867 × 1462 ) / 1

LCM(1867,1462) = 2729554 / 1

LCM(1867,1462) = 2729554


Lets's calculate GCF of 422,748

2 422, 748
211, 374

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2729554/2

Therefore the LCM of Fractions 1867/422,1462/748 is 1364777

Greatest Common Factor of 422,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,748 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 422,748 . The biggest common factor number is the GCF number.
So the greatest common factor 422,748 is 2.


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 1867/422, 1462/748

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 1867/422, 1462/748?

Answer: LCM of Numerators as per given numbers 1867/422, 1462/748 is

LCM of Numerators i.e. for 1867,1462 is 2729554

GCF of denominators i.e. for 422,748 is 2.

Thus, LCM of Fractions is 1364777.Finally, LCM of Fractions for 1867/422, 1462/748 is 1364777.