Least Common Multiple of 70/964, 218/570, 736/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/964, 218/570, 736/220 quickly i.e. 1403920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/964, 218/570, 736/220 is 1403920.

LCM(70/964, 218/570, 736/220) = 1403920

LCM of 70/964, 218/570, 736/220

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 70/964,218/570,736/220

Given numbers are 70/964,218/570,736/220

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 70,218,736

Least Common Multiple of Numerators i.e. LCM of 70,218,736 is 2807840.

GCF of Denominators means GCF of 964,570,220 as per the given fractions.

GCF of 964,570,220 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,218,736

LCM of Fractions 70/964,218/570,736/220 is 1403920

2 70, 218, 736
35, 109, 368

∴ So the LCM of the given numbers is 2 x 35 x 109 x 368 = 2807840

Least Common Multiple of 70,218,736 with GCF Formula

Least Common Multiple of 70,218,736 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 70,218,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,218,736) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(70,218,736) x common factors =2 x 2 = 4

LCM(70,218,736) = ( 70 × 218 × 736 ) / 4

LCM(70,218,736) = 11231360 / 4

LCM(70,218,736) = 2807840


Lets's calculate GCF of 964,570,220

2 964, 570, 220
482, 285, 110

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2807840/2

Therefore the LCM of Fractions 70/964,218/570,736/220 is 1403920

Greatest Common Factor of 964,570,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,570,220 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 964,570,220 . The biggest common factor number is the GCF number.
So the greatest common factor 964,570,220 is 2.


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 70/964, 218/570, 736/220

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 70/964, 218/570, 736/220?

Answer: LCM of Numerators as per given numbers 70/964, 218/570, 736/220 is

LCM of Numerators i.e. for 70,218,736 is 2807840

GCF of denominators i.e. for 964,570,220 is 2.

Thus, LCM of Fractions is 1403920.Finally, LCM of Fractions for 70/964, 218/570, 736/220 is 1403920.