Least Common Multiple of 980/69, 497/99, 140/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/69, 497/99, 140/661 quickly i.e. 69580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/69, 497/99, 140/661 is 69580.

LCM(980/69, 497/99, 140/661) = 69580

LCM of 980/69, 497/99, 140/661

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 980/69,497/99,140/661

Given numbers are 980/69,497/99,140/661

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 980,497,140

Least Common Multiple of Numerators i.e. LCM of 980,497,140 is 69580.

GCF of Denominators means GCF of 69,99,661 as per the given fractions.

GCF of 69,99,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,497,140

LCM of Fractions 980/69,497/99,140/661 is 69580

2 980, 497, 140
2 490, 497, 70
5 245, 497, 35
7 49, 497, 7
1, 71, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 71 x 7 = 69580

Least Common Multiple of 980,497,140 with GCF Formula

Least Common Multiple of 980,497,140 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 980,497,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,497,140) = 7

common factors(in case of two or more numbers have common factors) = 140

GCF(980,497,140) x common factors =7 x 140 = 980

LCM(980,497,140) = ( 980 × 497 × 140 ) / 980

LCM(980,497,140) = 68188400 / 980

LCM(980,497,140) = 69580


Lets's calculate GCF of 69,99,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69580/1

Therefore the LCM of Fractions 980/69,497/99,140/661 is 69580

Greatest Common Factor of 69,99,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,99,661 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 69,99,661 . The biggest common factor number is the GCF number.
So the greatest common factor 69,99,661 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 980/69, 497/99, 140/661

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 980/69, 497/99, 140/661?

Answer: LCM of Numerators as per given numbers 980/69, 497/99, 140/661 is

LCM of Numerators i.e. for 980,497,140 is 69580

GCF of denominators i.e. for 69,99,661 is 1.

Thus, LCM of Fractions is 69580.Finally, LCM of Fractions for 980/69, 497/99, 140/661 is 69580.