Least Common Multiple of 672/91, 820/7140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/91, 820/7140 quickly i.e. 19680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/91, 820/7140 is 19680.

LCM(672/91, 820/7140) = 19680

LCM of 672/91, 820/7140

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 672/91,820/7140

Given numbers are 672/91,820/7140

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 672,820

Least Common Multiple of Numerators i.e. LCM of 672,820 is 137760.

GCF of Denominators means GCF of 91,7140 as per the given fractions.

GCF of 91,7140 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,820

LCM of Fractions 672/91,820/7140 is 19680

2 672, 820
2 336, 410
168, 205

∴ So the LCM of the given numbers is 2 x 2 x 168 x 205 = 137760

Least Common Multiple of 672,820 with GCF Formula

Least Common Multiple of 672,820 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 672,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,820) = 4

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

GCF(672,820) x common factors =4 x 1 = 4

LCM(672,820) = ( 672 × 820 ) / 4

LCM(672,820) = 551040 / 4

LCM(672,820) = 137760


Lets's calculate GCF of 91,7140

7 91, 7140
13, 1020

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137760/7

Therefore the LCM of Fractions 672/91,820/7140 is 19680

Greatest Common Factor of 91,7140 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,7140 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Greatest Common Factor

We found the factors 91,7140 . The biggest common factor number is the GCF number.
So the greatest common factor 91,7140 is 7.


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 672/91, 820/7140

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 672/91, 820/7140?

Answer: LCM of Numerators as per given numbers 672/91, 820/7140 is

LCM of Numerators i.e. for 672,820 is 137760

GCF of denominators i.e. for 91,7140 is 7.

Thus, LCM of Fractions is 19680.Finally, LCM of Fractions for 672/91, 820/7140 is 19680.