Least Common Multiple of 4/607, 21/377, 74/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/607, 21/377, 74/823 quickly i.e. 3108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/607, 21/377, 74/823 is 3108.

LCM(4/607, 21/377, 74/823) = 3108

LCM of 4/607, 21/377, 74/823

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 4/607,21/377,74/823

Given numbers are 4/607,21/377,74/823

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 4,21,74

Least Common Multiple of Numerators i.e. LCM of 4,21,74 is 3108.

GCF of Denominators means GCF of 607,377,823 as per the given fractions.

GCF of 607,377,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,21,74

LCM of Fractions 4/607,21/377,74/823 is 3108

2 4, 21, 74
2, 21, 37

∴ So the LCM of the given numbers is 2 x 2 x 21 x 37 = 3108

Least Common Multiple of 4,21,74 with GCF Formula

Least Common Multiple of 4,21,74 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 4,21,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,21,74) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(4,21,74) x common factors =1 x 2 = 2

LCM(4,21,74) = ( 4 × 21 × 74 ) / 2

LCM(4,21,74) = 6216 / 2

LCM(4,21,74) = 3108


Lets's calculate GCF of 607,377,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3108/1

Therefore the LCM of Fractions 4/607,21/377,74/823 is 3108

Greatest Common Factor of 607,377,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,377,823 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 607,377,823 . The biggest common factor number is the GCF number.
So the greatest common factor 607,377,823 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 4/607, 21/377, 74/823

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 4/607, 21/377, 74/823?

Answer: LCM of Numerators as per given numbers 4/607, 21/377, 74/823 is

LCM of Numerators i.e. for 4,21,74 is 3108

GCF of denominators i.e. for 607,377,823 is 1.

Thus, LCM of Fractions is 3108.Finally, LCM of Fractions for 4/607, 21/377, 74/823 is 3108.