Least Common Multiple of 623/30, 119/49, 707/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/30, 119/49, 707/672 quickly i.e. 1069691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/30, 119/49, 707/672 is 1069691.

LCM(623/30, 119/49, 707/672) = 1069691

LCM of 623/30, 119/49, 707/672

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 623/30,119/49,707/672

Given numbers are 623/30,119/49,707/672

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 623,119,707

Least Common Multiple of Numerators i.e. LCM of 623,119,707 is 1069691.

GCF of Denominators means GCF of 30,49,672 as per the given fractions.

GCF of 30,49,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,119,707

LCM of Fractions 623/30,119/49,707/672 is 1069691

7 623, 119, 707
89, 17, 101

∴ So the LCM of the given numbers is 7 x 89 x 17 x 101 = 1069691

Least Common Multiple of 623,119,707 with GCF Formula

Least Common Multiple of 623,119,707 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 623,119,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,119,707) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(623,119,707) x common factors =7 x 7 = 49

LCM(623,119,707) = ( 623 × 119 × 707 ) / 49

LCM(623,119,707) = 52414859 / 49

LCM(623,119,707) = 1069691


Lets's calculate GCF of 30,49,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069691/1

Therefore the LCM of Fractions 623/30,119/49,707/672 is 1069691

Greatest Common Factor of 30,49,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,49,672 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 30,49,672 . The biggest common factor number is the GCF number.
So the greatest common factor 30,49,672 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 623/30, 119/49, 707/672

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 623/30, 119/49, 707/672?

Answer: LCM of Numerators as per given numbers 623/30, 119/49, 707/672 is

LCM of Numerators i.e. for 623,119,707 is 1069691

GCF of denominators i.e. for 30,49,672 is 1.

Thus, LCM of Fractions is 1069691.Finally, LCM of Fractions for 623/30, 119/49, 707/672 is 1069691.