Least Common Multiple of 770/840, 5457/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/840, 5457/990 quickly i.e. 140063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/840, 5457/990 is 140063.

LCM(770/840, 5457/990) = 140063

LCM of 770/840, 5457/990

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 770/840,5457/990

Given numbers are 770/840,5457/990

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 770,5457

Least Common Multiple of Numerators i.e. LCM of 770,5457 is 4201890.

GCF of Denominators means GCF of 840,990 as per the given fractions.

GCF of 840,990 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,5457

LCM of Fractions 770/840,5457/990 is 140063

Given numbers has no common factors except 1. So, there LCM is their product i.e 4201890

Least Common Multiple of 770,5457 with GCF Formula

Least Common Multiple of 770,5457 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 770,5457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,5457) = 1

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

GCF(770,5457) x common factors =1 x 1 = 1

LCM(770,5457) = ( 770 × 5457 ) / 1

LCM(770,5457) = 4201890 / 1

LCM(770,5457) = 4201890


Lets's calculate GCF of 840,990

2 840, 990
3 420, 495
5 140, 165
28, 33

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4201890/30

Therefore the LCM of Fractions 770/840,5457/990 is 140063

Greatest Common Factor of 840,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,990 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 840,990 . The biggest common factor number is the GCF number.
So the greatest common factor 840,990 is 30.


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 770/840, 5457/990

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 770/840, 5457/990?

Answer: LCM of Numerators as per given numbers 770/840, 5457/990 is

LCM of Numerators i.e. for 770,5457 is 4201890

GCF of denominators i.e. for 840,990 is 30.

Thus, LCM of Fractions is 140063.Finally, LCM of Fractions for 770/840, 5457/990 is 140063.