Least Common Multiple of 53/700, 548/952, 210/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/700, 548/952, 210/280 quickly i.e. 108915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/700, 548/952, 210/280 is 108915.

LCM(53/700, 548/952, 210/280) = 108915

LCM of 53/700, 548/952, 210/280

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 53/700,548/952,210/280

Given numbers are 53/700,548/952,210/280

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 53,548,210

Least Common Multiple of Numerators i.e. LCM of 53,548,210 is 3049620.

GCF of Denominators means GCF of 700,952,280 as per the given fractions.

GCF of 700,952,280 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,548,210

LCM of Fractions 53/700,548/952,210/280 is 108915

2 53, 548, 210
53, 274, 105

∴ So the LCM of the given numbers is 2 x 53 x 274 x 105 = 3049620

Least Common Multiple of 53,548,210 with GCF Formula

Least Common Multiple of 53,548,210 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 53,548,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,548,210) = 1

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

GCF(53,548,210) x common factors =1 x 2 = 2

LCM(53,548,210) = ( 53 × 548 × 210 ) / 2

LCM(53,548,210) = 6099240 / 2

LCM(53,548,210) = 3049620


Lets's calculate GCF of 700,952,280

2 700, 952, 280
2 350, 476, 140
7 175, 238, 70
25, 34, 10

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3049620/28

Therefore the LCM of Fractions 53/700,548/952,210/280 is 108915

Greatest Common Factor of 700,952,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,952,280 By Matching Biggest Common Factor Method

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

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 700,952,280 . The biggest common factor number is the GCF number.
So the greatest common factor 700,952,280 is 28.


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 53/700, 548/952, 210/280

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 53/700, 548/952, 210/280?

Answer: LCM of Numerators as per given numbers 53/700, 548/952, 210/280 is

LCM of Numerators i.e. for 53,548,210 is 3049620

GCF of denominators i.e. for 700,952,280 is 28.

Thus, LCM of Fractions is 108915.Finally, LCM of Fractions for 53/700, 548/952, 210/280 is 108915.