Least Common Multiple of 220/70, 693/95, 984/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 220/70, 693/95, 984/692 quickly i.e. 1136520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/70, 693/95, 984/692 is 1136520.

LCM(220/70, 693/95, 984/692) = 1136520

LCM of 220/70, 693/95, 984/692

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 220/70,693/95,984/692

Given numbers are 220/70,693/95,984/692

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 220,693,984

Least Common Multiple of Numerators i.e. LCM of 220,693,984 is 1136520.

GCF of Denominators means GCF of 70,95,692 as per the given fractions.

GCF of 70,95,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,693,984

LCM of Fractions 220/70,693/95,984/692 is 1136520

2 220, 693, 984
2 110, 693, 492
3 55, 693, 246
11 55, 231, 82
5, 21, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 5 x 21 x 82 = 1136520

Least Common Multiple of 220,693,984 with GCF Formula

Least Common Multiple of 220,693,984 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 220,693,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,693,984) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(220,693,984) x common factors =1 x 132 = 132

LCM(220,693,984) = ( 220 × 693 × 984 ) / 132

LCM(220,693,984) = 150020640 / 132

LCM(220,693,984) = 1136520


Lets's calculate GCF of 70,95,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1136520/1

Therefore the LCM of Fractions 220/70,693/95,984/692 is 1136520

Greatest Common Factor of 70,95,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,95,692 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 70,95,692 . The biggest common factor number is the GCF number.
So the greatest common factor 70,95,692 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 220/70, 693/95, 984/692

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 220/70, 693/95, 984/692?

Answer: LCM of Numerators as per given numbers 220/70, 693/95, 984/692 is

LCM of Numerators i.e. for 220,693,984 is 1136520

GCF of denominators i.e. for 70,95,692 is 1.

Thus, LCM of Fractions is 1136520.Finally, LCM of Fractions for 220/70, 693/95, 984/692 is 1136520.