Least Common Multiple of 99/980, 168/980, 671/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/980, 168/980, 671/700 quickly i.e. 338184/140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/980, 168/980, 671/700 is 338184/140.

LCM(99/980, 168/980, 671/700) = 338184/140

LCM of 99/980, 168/980, 671/700

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 99/980,168/980,671/700

Given numbers are 99/980,168/980,671/700

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 99,168,671

Least Common Multiple of Numerators i.e. LCM of 99,168,671 is 338184.

GCF of Denominators means GCF of 980,980,700 as per the given fractions.

GCF of 980,980,700 is 140 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,168,671

LCM of Fractions 99/980,168/980,671/700 is 338184/140

3 99, 168, 671
11 33, 56, 671
3, 56, 61

∴ So the LCM of the given numbers is 3 x 11 x 3 x 56 x 61 = 338184

Least Common Multiple of 99,168,671 with GCF Formula

Least Common Multiple of 99,168,671 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 99,168,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,168,671) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(99,168,671) x common factors =1 x 33 = 33

LCM(99,168,671) = ( 99 × 168 × 671 ) / 33

LCM(99,168,671) = 11160072 / 33

LCM(99,168,671) = 338184


Lets's calculate GCF of 980,980,700

2 980, 980, 700
2 490, 490, 350
5 245, 245, 175
7 49, 49, 35
7, 7, 5

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338184/140

Therefore the LCM of Fractions 99/980,168/980,671/700 is 338184/140

Greatest Common Factor of 980,980,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,980,700 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 980,980,700 . The biggest common factor number is the GCF number.
So the greatest common factor 980,980,700 is 140.


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 99/980, 168/980, 671/700

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 99/980, 168/980, 671/700?

Answer: LCM of Numerators as per given numbers 99/980, 168/980, 671/700 is

LCM of Numerators i.e. for 99,168,671 is 338184

GCF of denominators i.e. for 980,980,700 is 140.

Thus, LCM of Fractions is 338184/140.Finally, LCM of Fractions for 99/980, 168/980, 671/700 is 338184/140.